edcom-728x90

IXL Ad

Display Title

Video Transcript: TI-Nspire Mini-Tutorial: Composite Functions, Linear to Rational

Video Transcript: TI-Nspire Mini-Tutorial: Composite Functions, Linear to Rational

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.



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

This is part of a collection of video transcripts for the video tutorial series on using the TI-Nspire Graphing Calculator. To see the complete collection of transcripts, click on this link.

Note: The download is a PDF file.

Video Transcript Library

To see the complete collection of video transcriptsy, click on this link.

Video Library

To see the complete collection of videos in the Video Library, 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