Display Title

Closed Captioned Video: Composite Functions: Linear to Linear

Closed Captioned Video: Composite Functions: Linear to Linear

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 Mini-Tutorial Video includes a worksheet. .

This is part of a collection of closed captioned videos on various math topics. To see the complete collection of the videos, click on this link.

Note: The download is Media4Math's guide to closed captioned videos.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Video Transcripts

This video has a transcript available. To see the complete collection of video transcripts, click on this link.

Common Core Standards CCSS.MATH.CONTENT.HSF.BF.A.1.C, CCSS.MATH.CONTENT.HSF.BF.B.3
Duration 1 minutes
Grade Range 6 - 12
Curriculum Nodes Algebra
    • Functions and Relations
        • Composite Functions
Copyright Year 2020
Keywords TI-Nspire, Nspire, TINspire, composition of functions, Closed Captioned Video