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VIDEO: Ti-Nspire Mini-Tutorial, Video 59

VIDEO: TI-Nspire Mini-Tutorial: Exploring Composite Functions

What Are Composite Functions?

Modeling Functions

A function machine is often used to model a function. A function machine takes an input value, x, and that results in an output value, f(x).

Diagram of a function machine.

A composite function occurs when the output of one function is the input value for another function.

Diagram of a function machine.

Let’s look at some examples. Here is a simple linear function.

An example of a linear function.

Let’s use an input value of x = 2.

Evaluating a linear function.

Now, let’s take this output value for f(2) and use it as an input value for this function.

A quadratic function.

Let’s evaluate this function for f(2).

Evaluating a quadratic function.

Here’s another way of writing g(f(x)).

Function notation for a composite function.

With this function the original input value of x = 2 results in the same output.

Evaluating a composite function.



In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping one linear function to another linear function. This video supports the TI-Nspire Clickpad and Touchpad.

This is part of a collection of video tutorials on using the TI-Nspire graphing calculator. To see the complete collection of the videos, click on this link.

Note: The download is an MP4 video file.

Companion Worksheets

Many of these tutorial videos include companion worksheet. To see the complete collection of these worksheets, click on this link.

Related Resources

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Video Library

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Common Core Standards CCSS.MATH.CONTENT.HSF.BF.A.1.C, CCSS.MATH.CONTENT.HSF.BF.B.3
Duration 1.00 minutes
Grade Range 6 - 12
Curriculum Nodes Algebra
    • Functions and Relations
        • Composite Functions
Copyright Year 2009
Keywords TI-Nspire, Nspire, TINspire, composition of functions