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Definition--Calculus Topics--Rational Function
A function made up of the ratio of two functions f(x) and g(x). |
Calculus Vocabulary
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Definition--Calculus Topics--Riemann Sum
An approximation method for estimating the area under a curve and used to approximate the solution to a definite integral. |
Calculus Vocabulary
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Definition--Calculus Topics--Right-Hand Limit
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. |
Calculus Vocabulary
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Definition--Calculus Topics--Rolle's Theorem
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. |
Calculus Vocabulary
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Definition--Calculus Topics--Second Derivative
For differentiable function f(x), the second derivative is the derivative of f'(x) and denoted as f''(x). |
Calculus Vocabulary
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Definition--Calculus Topics--Separable Differential Equation
A special type of differential equation in which functions f(x) and g(y) can be separated to find the solution to the equation. |
Calculus Vocabulary
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Definition--Calculus Topics--Sigma Notation
The Greek letter used for summarizing terms of a finite or infinite sequence. |
Calculus Vocabulary
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Definition--Calculus Topics--Step Function
A discontinuous function whose graph looks like a staircase. A step function can be generated by ceiling or floor functions. |
Calculus Vocabulary
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Definition--Calculus Topics--Sum Rule
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). |
Calculus Vocabulary
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Definition--Calculus Topics--Tangent to a Curve
A line that intersects a curve at a single point and is perpendicular to the curve at that point. |
Calculus Vocabulary
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Definition--Calculus Topics--Trapezoidal Rule
A technique for approximating a definite integral by adding the areas of trapezoids underneath a curve. |
Calculus Vocabulary
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Definition--Calculus Topics--Trig Identities
Equations that involve trigonmetric functions and are often used to simplify certain trigonometric expressions. |
Calculus Vocabulary
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Definition--Calculus Topics--Trigonometric Function
One of six main functions, including sine, cosine, tangent, secant, cosecant, and cotangent. |
Calculus Vocabulary
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Definition--Calculus Topics--Vector
A quantity that has magnitude and direction. Vectors are often used to model real-world phenomena such as force, speed, or acceleration. |
Calculus Vocabulary
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Definition--Calculus Topics--Velocity
The first derivative, with respect to time, for the displacement function. Velocity is a vector quantity. |
Calculus Vocabulary
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Definition--Calculus Topics--Vertical Asymptote
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. |
Calculus Vocabulary
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Definition--Calculus Topics--Zeros of a Function
Where the graph of a function intersects the x-axis. The solutions to the equation f(x) = 0 for some function f(x). |
Calculus Vocabulary
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Definition--Exponential Concepts--Graphs of Exponential Functions
This is a collection of definitions related to exponential concepts. |
Applications of Exponential and Logarithmic Functions
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Absolute Value Function |
Special Functions
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Composite Function |
Composite Functions
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Conic Sections |
Conic Sections
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Constant Function |
Relations and Functions
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Continuous Function |
Relations and Functions
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Decreasing Function |
Relations and Functions
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Dependent Variable |
Relations and Functions
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Discontinuous Function |
Relations and Functions
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Discrete Functions |
Special Functions
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Distorting a Function Horizontally |
Relations and Functions
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Distorting a Function Vertically |
Relations and Functions
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Domain of a Function |
Relations and Functions
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Even Function |
Relations and Functions
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Function |
Relations and Functions
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Function Machine |
Relations and Functions
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Function Notation |
Relations and Functions
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Function Table |
Relations and Functions
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Graphs of Functions |
Relations and Functions
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Graphs of Relations |
Relations and Functions
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Increasing Function |
Relations and Functions
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Independent Variable |
Relations and Functions
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Inverse Function |
Functions and Their Inverses
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Odd Function |
Relations and Functions
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Parametric Equations |
Relations and Functions
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Piecewise Functions |
Special Functions
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Range of a Function |
Relations and Functions
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Recursive Function |
Relations and Functions
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Reflecting a Function |
Relations and Functions
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Relation |
Relations and Functions
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Step Function |
Special Functions
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Translating a Function |
Relations and Functions
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Vertical Line Test |
Relations and Functions
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