Function Operations In Algebra II: Student Guide

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MTH302A: Algebra II | Unit 3 | Lesson 10: Function Operations, Part 2

Student Guide

Function Operations, Part 2

Your oven is like a function; you put uncooked food in and cooked food comes out. Your body is also like a function; you put cooked food in and energy comes out. You can say that the energy you put out depends on the uncooked food you put in the oven. This lesson explores the concept of using outputs from one function as the inputs for another function.

Goals for the Lesson

Find the composition of two functions and/or evaluate the composition of two functions for a given value.

Graded Activities in This Lesson

Lesson Quiz (computer-scored)

Materials

Function Operations in Algebra II: A Reference Guide and Problem Sets

Optional

Function Operations Solutions

Keywords

function composition: a mapping in which each element of the range of one function is the domain of another function

You can take notes in the spaces below as you work through the lesson.

Groundwork [online]

Notes

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MTH302A: Algebra II | Unit 3 | Lesson 10: Function Operations, Part 2

Function Composition [online]

Use the online lesson to complete the notes.

Notes

What is meant by function composition?

If f(x) = 2x and g(x) = x – 7, find each of the following:

(f g )(x )

(g f )(x )

If f(x) = x + 3 and g(x) = x2, find each of the following:

(f g )(x)

(g f )(x)

Try It [online]

Notes

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Copying or…