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Henrico County Public Schools, Virginia

 
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Module - Exploring Polynomial Functions
Lesson 7 - Composition of Functions
8 - Inverse Functions and Relations
Objective

The student will be able to find the composition of functions.

Composition of Functions

Below are sliders that help to change two functions - F(x) and G(x). Notice the changes to the shape of the function as well as the equation as you change the sliders.

We have been studying "Composition of functions" by plugging one function in for the domain of the other function. What happens to the graphs of a composition?

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SOL

AII.7h - The student will investigate and analyze functions algebraically and graphically. Key concepts include composition of multiple functions.

Graphing calculators will be used as a tool to assist in investigation of functions.

Common Core Standards

Warm-up
  1. ExamView: Solving Polynomial Equations Review
Lessons
  1. Notes: Composition of Functions #1 (ppt)
  2. Notes: Composition of Functions #2 (ppt)
Videos

 

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Geogebra

 

Internet Sites
Tasks

 

Practice
  1. Classwork: Composition of Functions Worksheet (pdf)
  2. Homework: Composition of Functions Worksheet #1-11 (pdf)
Assessment
  1. ExamView: Composition of Functions Quiz
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