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Combining functions

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Intro to combining functions
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Adding functions
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Subtracting functions
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Adding and subtracting functions
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Multiplying functions
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Dividing functions
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Multiplying and dividing functions
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Composing functions

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Intro to composing functions
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Intro to composing functions
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Composing functions
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Evaluating composite functions
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Evaluating composite functions: using tables
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Evaluating composite functions: using graphs
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Finding composite functions
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Evaluating composite functions (advanced)
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Practice
Evaluate composite functionsGet 3 of 4 questions to level up!
Evaluate composite functions: graphs & tablesGet 3 of 4 questions to level up!
Find composite functionsGet 3 of 4 questions to level up!

Modeling situations by combining and composing functions

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Modeling with function combination
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Modeling with composite functions
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Modeling with composite functions (example 2)
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Practice
Model with function combinationGet 3 of 4 questions to level up!
Model with composite functionsGet 3 of 4 questions to level up!

Shifting functions

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Shifting functions examples
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Graphing shifted functions
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Practice
Shift functionsGet 3 of 4 questions to level up!

Stretching functions

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Identifying function transformations
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Identifying horizontal squash from graph
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Reflecting & compressing functions
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Practice
Identify function transformationsGet 3 of 4 questions to level up!

Introduction to inverses of functions

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Intro to inverse functions
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Intro to inverse functions
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Inputs & outputs of inverse functions
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Graphing the inverse of a linear function
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Practice
Evaluate inverse functionsGet 3 of 4 questions to level up!

Finding inverse functions

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Finding inverse functions: linear
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Finding inverse functions: quadratic
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Finding inverse functions: quadratic (example 2)
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Finding inverse functions: radical
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Finding inverses of rational functions
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Finding inverse functions
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Practice
Finding inverses of linear functionsGet 3 of 4 questions to level up!

Verifying that functions are inverses

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Verifying inverse functions by composition
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Verifying inverse functions by composition
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Verifying inverse functions by composition: not inverse
(Opens a modal)
Practice
Verify inverse functionsGet 3 of 4 questions to level up!

Determining whether a function is invertible

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Determining if a function is invertible
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Intro to invertible functions
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Restricting domains of functions to make them invertible
(Opens a modal)
Practice
Determine if a function is invertibleGet 3 of 4 questions to level up!
Restrict domains of functions to make them invertibleGet 3 of 4 questions to level up!

About this unit

A great cook knows how to take basic ingredients and prepare a delicious meal. In this topic, you will become function-chefs! You will learn how to combine functions with arithmetic operations and how to compose functions. You will also learn how to transform functions in ways that shift, reflect, or stretch their graphs. Finally, you will learn about inverse functions and how to find them!