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This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

Quizlet Flash Cards: Composite FunctionsThis is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

Quizlet Flash Cards: Composite FunctionsThis is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

Quizlet Flash Cards: Composite FunctionsThis is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is a collection of definitions related to the topic of functions and relations.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

The year 2023 is the Year of the Rabbit in the Chinese Zodiac. Media4Math would also like to make this the Year of Fibonacci.

This is part of a collection of math examples that focus on sequences and series.

This is a continuation of our exploration of the Fibonacci Sequence. In this lesson we look at the Golden Ratio phi.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is a continuation of our exploration of the Fibonacci Sequence. In this lesson we look at the Golden Ratio phi.

This is part of a collection of math examples that focus on sequences and series.

This is a continuation of our exploration of the Fibonacci Sequence. In this lesson we look at geometric constructions that reflect the golden ratio.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is a continuation of our exploration of the Fibonacci Sequence. In this lesson we look at the sequence as an example of a recursive function.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is part of a collection of math examples that focus on sequences and series.

This is a continuation of our exploration of the Fibonacci Sequence. In this lesson we look at the sequence as a logarithmic spiral.

In this TI Nspire tutorial for the TI-Nspire CAS, the Graphing window is used to find the sum of sequence of consecutive integers, as well as deriving the general formu

This is the transcript for the TI-Nspire Mini-Tutorial entitled, Exploring ind

In this TI Nspire tutorial for the TI-Nspire CAS, the Graphing window is used to find the sum of sequence of consecutive odd integers, as well as deriving the general f

This is part of a collection of math worksheets on the use of the TI-Nspire graphing calc

This is part of a collection of math worksheets on the use of the TI-Nspire graphing

In this TI Nspire tutorial for the TI-Nspire CAS, the Graphing window is used to find the sum

In this TI Nspire tutorial for the TI-Nspire CAS, the Graphing window is used to find the

This is the transcript for the TI-Nspire Mini-Tutorial entitled, Exploring inducti

This is the transcript for the TI-Nspire Mini-Tutorial entitled, Exploring ind

In this TI Nspire tutorial for the TI-Nspire CAS, the Graphing window is used to find the sum

In this TI Nspire tutorial for the TI-Nspire CAS, the Graphing window is used to find the sum of sequence of consecutive integers, as well as deriving the general formu

This is part of a collection of math worksheets on the use of the TI-Nspire graphing calc

In this TI Nspire tutorial for the TI-Nspire CAS, the Graphing window is used to find the sum of sequence of consecutive odd integers, as well as deriving the general f

This is the transcript for the TI-Nspire Mini-Tutorial entitled, Exploring inducti

This is part of a collection of math worksheets on the use of the TI-Nspire graphing

In this TI Nspire tutorial for the TI-Nspire CAS, the Graphing window is used to find the

The process of finding the derivative of a power function.

For differentiable function f(x), the linear approximation at x = a, for some real number a, is the equation of the line tangent to f(x) at a.

Where the graph of a function intersects the x-axis. The solutions to the equation f(x) = 0 for some function f(x).

A substitution technique where a variable replaces a more complicated expression. In calculus it can simplify differentiation or integration.

An equation that includes the derivative of a function f(x) and the variable x.

A function made up of the ratio of two functions f(x) and g(x).

A function used to find the slope of a tangent to a curve at a given point. The derivative is based on the following limit.

The second derivative, with respect to time, for the displacement function. Acceleration is a vector quantity.

Another way of describing the slope of the line tangent to a given curve at a given point.

For differentiable function f(x) along the closed interval [a, b] there is a value c within that interval such that f'(c) is parallel to the secant formed by th

A piecewise function whose simplest form is shown below. These functions are not differentiable at their vertex.

The way a function f(x) changes as x approaches infinity, whether positive or negative.

The process for finding the derivative of a composite function.

The derivative of an exponential function is the product of the function and the natural log of the base. The derivative of ex is ex.

A function is discontinuous if it has one or more gaps along the domain of the function. The left- or right-hand limits exist but are not equal.

For two functions f(x) and g(x), the derivative of the composite function f(g(x)) is f'(x)*g'(x). This is an example of the Chain Rule.

For function f(x), the inverse function f-1(x), if it exists, undoes the mapping of the original function.

The first derivative, with respect to time, for the displacement function. Velocity is a vector quantity.

The integral of a function with specific limits on the endpoints. A definite integral results in a numerical value.

A set of equations where each variable, x and y, is a function of a third variable, t. Graphs of parametric equations are sometimes not functions.

The change in y-coordinates for a given function. Often used in the formula for finding the derivative of a function.

Since a rational function is the ratio of two polynomials, the derivative of a rational function is also the ratio of two polynomials.

A function whose graphs has gaps. This is because the function consists of separate ordered pairs or is a discontinuous function with gaps.

For differentiable functions f(x) and g(x) along a given interval, the derivative of the sum f(x) + g(x) is the sum of the individual derivatives f'(x) and g'(x).

A line that intersects a curve at a single point and is perpendicular to the curve at that point.

A discontinuous function whose graph looks like a staircase. A step function can be generated by ceiling or floor functions.

Replacing the integrand with a simpler expression to make the process of integration easier.

A function is continuous if it has no gaps along the domain of the function.

For function f(x) along an interval, there are maximum and minimum values. If the derivative is zero along this interval, this is an inflection point.

A slanted line that the graph of a function approaches but does not intersect.

A second-order differential equation that is used to model simple harmonic motion using a trigonometric function.

For function f(x) along an interval [a, b], if f(a) = f(b), then there is a point along the interval where the derivative is zero.

When a function cannot be written in the form of y as a function of x, then implicit differentation can be used to find the derivative with respect to x.

One of six main functions, including sine, cosine, tangent, secant, cosecant, and cotangent.

As a function f(x) approaches a specific input value a, for x-values less than or equal to a, the function may approach a specific limiting value.

The integral of a function without a specific limit on the endpoints. The result of an indefinite integral is a differentiable function.

A method for finding the area of a curve along an interval. In calculus, integrating a function f(x) involves finding the antiderivative of f(x).

When a function takes an input value, a, for some value in the domain, such that f(a) ≤ f(x), for all x in the domain.

A quantity that has magnitude and direction. Vectors are often used to model real-world phenomena such as force, speed, or acceleration.

A function whose graph is symmetric about the y-axis.

As a function f(x) approaches a specific input value a, for x-values greater than or equal to a, the function may approach a specific limiting value.

The Greek letter used for summarizing terms of a finite or infinite sequence.

Equations that involve trigonmetric functions and are often used to simplify certain trigonometric expressions.

Since a quadratic function is a polynomial function of degree 2, the derivative is a linear function.

The derivative of a logarithmic function uses the laws of logarithms and the definition of e to find the derivative.

The change in x-coordinates for a given function. Often used in the formula for finding the derivative of a function.

A vector quantity can be represented by a matrix.

In the process of integration, it is the function that is being integrated.

Finding the limiting value for function f(x) as the input value x approaches infinity. This limit may or may not exist.

A function in which y can be written as a function of x, where y is on the left side of the equation and all terms with x are on the right side of the equation.

A function made up of separate functions, each with its own interval.

A line that the graph of a function approaches but does not intersect. Asymptotes can be vertical, horizontal, or oblique.

A function with a single term that consists of a variable base raised to a real number power. The variable can also have a real number coefficient.

The derivative of a linear function of the form y = mx + b is the slope of the line, m.

A horizontal line that the graph of a function approaches but does not intersect. The equation of a horizontal asymptote is y = c, for some constant c.

For two differentiable functions f(x) and F(x), if F'(x) = f(x), then F(x) is the antiderivative of f(x).

The rule for finding the derivative of a function made up of the ratios of two functions f(x) and g(x).

A discrete function that takes real number values and whose output is the greatest integer value greater than the input value. The graph looks like a staircase.

A special type of differential equation in which functions f(x) and g(y) can be separated to find the solution to the equation.

A function whose graph curves down along an interval of the domain. The inflection point is where the first derivative is zero.

For continuous function f(x) along interval [a, b] there are values between f(a) and f(b).

Restricting the limit of a function for values approaching the limiting value from one side.

The derivative of a polynomial of degree n is another polynomial of degree n - 1.

The point on a curve where the curvature changes. This is often indicated by a change in the slopes of tangents to the curve.

A discrete function that takes real number values and whose output is the least integer value greater than the input value. The graph looks like a staircase.

The derivative of a trig function is another trig function, as shown in the table.

Use implicit differentiation and the quotient rule to find the derivative of an inverse trig function.

When a function takes an input value, a, for some value in the domain, such that f(a) ≥ f(x), for all x in the domain.

The process of finding the derivative of a function.

The ratio along an interval of a domain for a given function, comparable to calculating the slope of a line.

A distance-vs.-time function used to find the distance an object has moved from a starting point.

For a definite integral, it is the numerical result of the integration.

When a function takes an input value, a, for some region in the domain, such that f(a) ≥ f(x), for all x in that region.

The theorem that relates differentiation and integration. The two operations are basically inverses of each other.

A function whose graph curves up along an interval of the domain. The inflection point is where the first derivative is zero.

A function whose graph has point symmetry about the origin.

A technique for approximating a definite integral by adding the areas of trapezoids underneath a curve.

A function whose input values are made up of another function. For two functions f(x) and g(x), a composite function can be written as f(g(x)).

The mathematical symbol used to denote the process of integration.

An approximation method for estimating the area under a curve and used to approximate the solution to a definite integral.

A function in which y cannot be written as a function of x, where y is on the left side of the equation and all terms with x are on the right side of the equatio

For function f(x)/g(x), where f(x) and g(x) are two functions, along an interval [a, b], if there is a point c in the interval such that g(x) = 0, then L'Hopital'

For differentiable function f(x), the second derivative is the derivative of f'(x) and denoted as f''(x).

A function is differentiable if a derivative can be found at each point in its domain.

A vertical line that the graph of a function approaches but does not intersect. The equation of a vertical asymptote is x = c, for some constant c.

For differentiable function f(x), the first derivative is denoted as f'(x).

When a function takes an input value, a, for some region in the domain, such that f(a) ≤ f(x), for all x in that region.

As a function f(x) approaches a specific input value a, the function may approach a specific limiting value. This limit may or may not exist.

This set of tutorials provides 18 examples that explore the concept of functions and their inverses.

When a function cannot be written in the form of y as a function of x, then implicit differentation can be used to find the derivative with respect to x.

A vector quantity can be represented by a matrix.

A line that intersects a curve at a single point and is perpendicular to the curve at that point.

In the process of integration, it is the function that is being integrated.

A function is discontinuous if it has one or more gaps along the domain of the function. The left- or right-hand limits exist but are not equal.

For differentiable function f(x) along the closed interval [a, b] there is a value c within that interval such that f'(c) is parallel to the secant formed by th

As a function f(x) approaches a specific input value a, the function may approach a specific limiting value. This limit may or may not exist.

When a function takes an input value, a, for some value in the domain, such that f(a) ≥ f(x), for all x in the domain.

For differentiable functions f(x) and g(x) along a given interval, the derivative of the sum f(x) + g(x) is the sum of the individual derivatives f'(x) and g'(x).

A horizontal line that the graph of a function approaches but does not intersect. The equation of a horizontal asymptote is y = c, for some constant c.

One of six main functions, including sine, cosine, tangent, secant, cosecant, and cotangent.

Use implicit differentiation and the quotient rule to find the derivative of an inverse trig function.

A piecewise function whose simplest form is shown below. These functions are not differentiable at their vertex.

A technique for approximating a definite integral by adding the areas of trapezoids underneath a curve.

The ratio along an interval of a domain for a given function, comparable to calculating the slope of a line.

A line that the graph of a function approaches but does not intersect. Asymptotes can be vertical, horizontal, or oblique.

The change in y-coordinates for a given function. Often used in the formula for finding the derivative of a function.

For differentiable function f(x), the linear approximation at x = a, for some real number a, is the equation of the line tangent to f(x) at a.

A function made up of the ratio of two functions f(x) and g(x).

For a definite integral, it is the numerical result of the integration.

The point on a curve where the curvature changes. This is often indicated by a change in the slopes of tangents to the curve.

A function whose graph is symmetric about the y-axis.

A function whose graph curves down along an interval of the domain. The inflection point is where the first derivative is zero.

An approximation method for estimating the area under a curve and used to approximate the solution to a definite integral.

When a function takes an input value, a, for some region in the domain, such that f(a) ≥ f(x), for all x in that region.

A discontinuous function whose graph looks like a staircase. A step function can be generated by ceiling or floor functions.

For two differentiable functions f(x) and F(x), if F'(x) = f(x), then F(x) is the antiderivative of f(x).

A function in which y cannot be written as a function of x, where y is on the left side of the equation and all terms with x are on the right side of the equatio

A second-order differential equation that is used to model simple harmonic motion using a trigonometric function.

The change in x-coordinates for a given function. Often used in the formula for finding the derivative of a function.

The process of finding the derivative of a function.

As a function f(x) approaches a specific input value a, for x-values greater than or equal to a, the function may approach a specific limiting value.

The derivative of a logarithmic function uses the laws of logarithms and the definition of e to find the derivative.

An equation that includes the derivative of a function f(x) and the variable x.

The way a function f(x) changes as x approaches infinity, whether positive or negative.

A function is continuous if it has no gaps along the domain of the function.

When a function takes an input value, a, for some value in the domain, such that f(a) ≤ f(x), for all x in the domain.

When a function takes an input value, a, for some region in the domain, such that f(a) ≤ f(x), for all x in that region.

The second derivative, with respect to time, for the displacement function. Acceleration is a vector quantity.

A discrete function that takes real number values and whose output is the greatest integer value greater than the input value. The graph looks like a staircase.

A distance-vs.-time function used to find the distance an object has moved from a starting point.

Restricting the limit of a function for values approaching the limiting value from one side.

A discrete function that takes real number values and whose output is the least integer value greater than the input value. The graph looks like a staircase.

The process of finding the derivative of a power function.

The derivative of a linear function of the form y = mx + b is the slope of the line, m.

For differentiable function f(x), the second derivative is the derivative of f'(x) and denoted as f''(x).

A function whose graph curves up along an interval of the domain. The inflection point is where the first derivative is zero.

The derivative of an exponential function is the product of the function and the natural log of the base. The derivative of ex is ex.

For two functions f(x) and g(x), the derivative of the composite function f(g(x)) is f'(x)*g'(x). This is an example of the Chain Rule.

A set of equations where each variable, x and y, is a function of a third variable, t. Graphs of parametric equations are sometimes not functions.

The Greek letter used for summarizing terms of a finite or infinite sequence.

The derivative of a polynomial of degree n is another polynomial of degree n - 1.

For function f(x) along an interval [a, b], if f(a) = f(b), then there is a point along the interval where the derivative is zero.

Where the graph of a function intersects the x-axis. The solutions to the equation f(x) = 0 for some function f(x).

A quantity that has magnitude and direction. Vectors are often used to model real-world phenomena such as force, speed, or acceleration.

Finding the limiting value for function f(x) as the input value x approaches infinity. This limit may or may not exist.

A function whose input values are made up of another function. For two functions f(x) and g(x), a composite function can be written as f(g(x)).

Another way of describing the slope of the line tangent to a given curve at a given point.

Since a quadratic function is a polynomial function of degree 2, the derivative is a linear function.

A special type of differential equation in which functions f(x) and g(y) can be separated to find the solution to the equation.

The theorem that relates differentiation and integration. The two operations are basically inverses of each other.

The integral of a function without a specific limit on the endpoints. The result of an indefinite integral is a differentiable function.

A function in which y can be written as a function of x, where y is on the left side of the equation and all terms with x are on the right side of the equation.

The rule for finding the derivative of a function made up of the ratios of two functions f(x) and g(x).

Since a rational function is the ratio of two polynomials, the derivative of a rational function is also the ratio of two polynomials.

For differentiable function f(x), the first derivative is denoted as f'(x).

The first derivative, with respect to time, for the displacement function. Velocity is a vector quantity.

For function f(x) along an interval, there are maximum and minimum values. If the derivative is zero along this interval, this is an inflection point.

For function f(x)/g(x), where f(x) and g(x) are two functions, along an interval [a, b], if there is a point c in the interval such that g(x) = 0, then L'Hopital'

The process for finding the derivative of a composite function.

A function whose graphs has gaps. This is because the function consists of separate ordered pairs or is a discontinuous function with gaps.

A vertical line that the graph of a function approaches but does not intersect. The equation of a vertical asymptote is x = c, for some constant c.

A method for finding the area of a curve along an interval. In calculus, integrating a function f(x) involves finding the antiderivative of f(x).

A function is differentiable if a derivative can be found at each point in its domain.

A function made up of separate functions, each with its own interval.

A substitution technique where a variable replaces a more complicated expression. In calculus it can simplify differentiation or integration.

A slanted line that the graph of a function approaches but does not intersect.

For continuous function f(x) along interval [a, b] there are values between f(a) and f(b).

The derivative of a trig function is another trig function, as shown in the table.

A function whose graph has point symmetry about the origin.

As a function f(x) approaches a specific input value a, for x-values less than or equal to a, the function may approach a specific limiting value.

A function used to find the slope of a tangent to a curve at a given point. The derivative is based on the following limit.

The mathematical symbol used to denote the process of integration.

Replacing the integrand with a simpler expression to make the process of integration easier.

Equations that involve trigonmetric functions and are often used to simplify certain trigonometric expressions.

For function f(x), the inverse function f-1(x), if it exists, undoes the mapping of the original function.

A function with a single term that consists of a variable base raised to a real number power. The variable can also have a real number coefficient.

The integral of a function with specific limits on the endpoints. A definite integral results in a numerical value.

A function is discontinuous if it has one or more gaps along the domain of the function. The left- or right-hand limits exist but are not equal.

For differentiable function f(x), the linear approximation at x = a, for some real number a, is the equation of the line tangent to f(x) at a.

A line that intersects a curve at a single point and is perpendicular to the curve at that point.

Since a quadratic function is a polynomial function of degree 2, the derivative is a linear function.

The point on a curve where the curvature changes. This is often indicated by a change in the slopes of tangents to the curve.

An approximation method for estimating the area under a curve and used to approximate the solution to a definite integral.

A function whose input values are made up of another function. For two functions f(x) and g(x), a composite function can be written as f(g(x)).

The derivative of an exponential function is the product of the function and the natural log of the base. The derivative of ex is ex.

A discontinuous function whose graph looks like a staircase. A step function can be generated by ceiling or floor functions.

When a function takes an input value, a, for some value in the domain, such that f(a) ≤ f(x), for all x in the domain.

The derivative of a linear function of the form y = mx + b is the slope of the line, m.

The rule for finding the derivative of a function made up of the ratios of two functions f(x) and g(x).

A discrete function that takes real number values and whose output is the least integer value greater than the input value. The graph looks like a staircase.

For function f(x)/g(x), where f(x) and g(x) are two functions, along an interval [a, b], if there is a point c in the interval such that g(x) = 0, then L'Hopital'

The second derivative, with respect to time, for the displacement function. Acceleration is a vector quantity.

For a definite integral, it is the numerical result of the integration.

For two differentiable functions f(x) and F(x), if F'(x) = f(x), then F(x) is the antiderivative of f(x).

When a function cannot be written in the form of y as a function of x, then implicit differentation can be used to find the derivative with respect to x.

For function f(x) along an interval, there are maximum and minimum values. If the derivative is zero along this interval, this is an inflection point.

A function whose graph curves down along an interval of the domain. The inflection point is where the first derivative is zero.

A function is continuous if it has no gaps along the domain of the function.

When a function takes an input value, a, for some value in the domain, such that f(a) ≥ f(x), for all x in the domain.

As a function f(x) approaches a specific input value a, for x-values greater than or equal to a, the function may approach a specific limiting value.

The derivative of a logarithmic function uses the laws of logarithms and the definition of e to find the derivative.

A function whose graph has point symmetry about the origin.

A horizontal line that the graph of a function approaches but does not intersect. The equation of a horizontal asymptote is y = c, for some constant c.

A function is differentiable if a derivative can be found at each point in its domain.

A method for finding the area of a curve along an interval. In calculus, integrating a function f(x) involves finding the antiderivative of f(x).

The theorem that relates differentiation and integration. The two operations are basically inverses of each other.

The Greek letter used for summarizing terms of a finite or infinite sequence.

A function whose graph is symmetric about the y-axis.

Use implicit differentiation and the quotient rule to find the derivative of an inverse trig function.

For function f(x) along an interval [a, b], if f(a) = f(b), then there is a point along the interval where the derivative is zero.

The derivative of a polynomial of degree n is another polynomial of degree n - 1.

For differentiable functions f(x) and g(x) along a given interval, the derivative of the sum f(x) + g(x) is the sum of the individual derivatives f'(x) and g'(x).

A function used to find the slope of a tangent to a curve at a given point. The derivative is based on the following limit.

A technique for approximating a definite integral by adding the areas of trapezoids underneath a curve.

Restricting the limit of a function for values approaching the limiting value from one side.

The integral of a function with specific limits on the endpoints. A definite integral results in a numerical value.

A function whose graph curves up along an interval of the domain. The inflection point is where the first derivative is zero.

Replacing the integrand with a simpler expression to make the process of integration easier.

The way a function f(x) changes as x approaches infinity, whether positive or negative.

The derivative of a trig function is another trig function, as shown in the table.

The ratio along an interval of a domain for a given function, comparable to calculating the slope of a line.

A second-order differential equation that is used to model simple harmonic motion using a trigonometric function.

In the process of integration, it is the function that is being integrated.

For two functions f(x) and g(x), the derivative of the composite function f(g(x)) is f'(x)*g'(x). This is an example of the Chain Rule.

The integral of a function without a specific limit on the endpoints. The result of an indefinite integral is a differentiable function.

Finding the limiting value for function f(x) as the input value x approaches infinity. This limit may or may not exist.

A discrete function that takes real number values and whose output is the greatest integer value greater than the input value. The graph looks like a staircase.

For differentiable function f(x) along the closed interval [a, b] there is a value c within that interval such that f'(c) is parallel to the secant formed by th

As a function f(x) approaches a specific input value a, the function may approach a specific limiting value. This limit may or may not exist.

The process of finding the derivative of a power function.

A function made up of separate functions, each with its own interval.

The process of finding the derivative of a function.

When a function takes an input value, a, for some region in the domain, such that f(a) ≤ f(x), for all x in that region.

Where the graph of a function intersects the x-axis. The solutions to the equation f(x) = 0 for some function f(x).

A vector quantity can be represented by a matrix.

The change in y-coordinates for a given function. Often used in the formula for finding the derivative of a function.

A distance-vs.-time function used to find the distance an object has moved from a starting point.

For differentiable function f(x), the second derivative is the derivative of f'(x) and denoted as f''(x).

A quantity that has magnitude and direction. Vectors are often used to model real-world phenomena such as force, speed, or acceleration.

A function made up of the ratio of two functions f(x) and g(x).

For continuous function f(x) along interval [a, b] there are values between f(a) and f(b).

As a function f(x) approaches a specific input value a, for x-values less than or equal to a, the function may approach a specific limiting value.

One of six main functions, including sine, cosine, tangent, secant, cosecant, and cotangent.

A substitution technique where a variable replaces a more complicated expression. In calculus it can simplify differentiation or integration.

The first derivative, with respect to time, for the displacement function. Velocity is a vector quantity.

The mathematical symbol used to denote the process of integration.

The change in x-coordinates for a given function. Often used in the formula for finding the derivative of a function.

Since a rational function is the ratio of two polynomials, the derivative of a rational function is also the ratio of two polynomials.

A function with a single term that consists of a variable base raised to a real number power. The variable can also have a real number coefficient.

A function in which y cannot be written as a function of x, where y is on the left side of the equation and all terms with x are on the right side of the equatio

Another way of describing the slope of the line tangent to a given curve at a given point.

Equations that involve trigonmetric functions and are often used to simplify certain trigonometric expressions.

The process for finding the derivative of a composite function.

For differentiable function f(x), the first derivative is denoted as f'(x).

A vertical line that the graph of a function approaches but does not intersect. The equation of a vertical asymptote is x = c, for some constant c.

When a function takes an input value, a, for some region in the domain, such that f(a) ≥ f(x), for all x in that region.

An equation that includes the derivative of a function f(x) and the variable x.

A function whose graphs has gaps. This is because the function consists of separate ordered pairs or is a discontinuous function with gaps.

For function f(x), the inverse function f-1(x), if it exists, undoes the mapping of the original function.

A piecewise function whose simplest form is shown below. These functions are not differentiable at their vertex.

A set of equations where each variable, x and y, is a function of a third variable, t. Graphs of parametric equations are sometimes not functions.

A line that the graph of a function approaches but does not intersect. Asymptotes can be vertical, horizontal, or oblique.

A special type of differential equation in which functions f(x) and g(y) can be separated to find the solution to the equation.

A slanted line that the graph of a function approaches but does not intersect.

A function in which y can be written as a function of x, where y is on the left side of the equation and all terms with x are on the right side of the equation.

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping one

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping a

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping one linear function to a polynomial function.

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping one linear function to another linear function using sliders.

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping one linear function to a rational function.

In this TI Nspire tutorial for the TI-Nspire CAS, we explore composite fun

In this TI Nspire tutorialthe Graphing window is used to create a slider-based graph of a cosine curve to explore its properties

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping one linear function toan exponential function.

In this TI Nspire tutorialthe Graphing window is used to create a slider-based graph of a sine curve to explore its properties.

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping one linear function to a logarithmic function.

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping one linear function to a trigonometric function.

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping one

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mappi

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping on

This is the transcript for the TI-Nspire Mini-Tutorial entitled, Composite Functions: Linear to Linear.

In this TI Nspire tutorial for the TI-Nspire CAS, we explore

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping

In this TI Nspire tutorial, the Graph window is used to graph two functions and finding the point of intersection.

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping a linear function to a quadratic.

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping one

A function is continuous if it has no gaps along the domain of the function.

A function whose graph curves down along an interval of the domain. The inflection point is where the first derivative is zero.

In the process of integration, it is the function that is being integrated.

Replacing the integrand with a simpler expression to make the process of integration easier.

The way a function f(x) changes as x approaches infinity, whether positive or negative.

A function whose graphs has gaps. This is because the function consists of separate ordered pairs or is a discontinuous function with gaps.

The process of finding the derivative of a function.

A distance-vs.-time function used to find the distance an object has moved from a starting point.

A function is discontinuous if it has one or more gaps along the domain of the function. The left- or right-hand limits exist but are not equal.

A function whose input values are made up of another function. For two functions f(x) and g(x), a composite function can be written as f(g(x)).