Main content
Learn
Intro to combining functionsAdding functionsSubtracting functionsAdding and subtracting functionsMultiplying functionsDividing functionsMultiplying and dividing functions
Learn
Intro to composing functionsIntro to composing functionsComposing functionsEvaluating composite functionsEvaluating composite functions: using tablesEvaluating composite functions: using graphsFinding composite functionsEvaluating composite functions (advanced)
Practice
Evaluate composite functionsGet 3 of 4 questions to level up!
Find composite functionsGet 3 of 4 questions to level up!
Learn
Modeling with function combinationModeling with composite functionsModeling with composite functions (example 2)
Practice
Model with function combinationGet 3 of 4 questions to level up!
Model with composite functionsGet 3 of 4 questions to level up!
Learn
Shifting functions examplesGraphing shifted functions
Practice
Shift functionsGet 3 of 4 questions to level up!
Learn
Identifying function transformationsIdentifying horizontal squash from graphReflecting & compressing functions
Practice
Identify function transformationsGet 3 of 4 questions to level up!
Learn
Intro to inverse functionsIntro to inverse functionsInputs & outputs of inverse functionsGraphing the inverse of a linear function
Practice
Evaluate inverse functionsGet 3 of 4 questions to level up!
Learn
Finding inverse functions: linearFinding inverse functions: quadraticFinding inverse functions: quadratic (example 2)Finding inverse functions: radicalFinding inverses of rational functionsFinding inverse functions
Practice
Finding inverses of linear functionsGet 3 of 4 questions to level up!
Learn
Verifying inverse functions by compositionVerifying inverse functions by compositionVerifying inverse functions by composition: not inverse
Practice
Verify inverse functionsGet 3 of 4 questions to level up!
Learn
Determining if a function is invertibleIntro to invertible functionsRestricting domains of functions to make them invertible
Practice
Determine if a function is 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!