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4 7 Inverse Functions.notebook January 15, 2014 1. What is your favorite Dr. Seuss story? 2. Which Dr. Seuss story does this character belong to on the right?

1. What is your favorite Dr. Seuss story? 2. Which Dr ... · Unit 7: Linear Functions, Part 2 4.7 Inverse Functions Date Inverse Function stands for the inverse of The domain of a

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Page 1: 1. What is your favorite Dr. Seuss story? 2. Which Dr ... · Unit 7: Linear Functions, Part 2 4.7 Inverse Functions Date Inverse Function stands for the inverse of The domain of a

4 7 Inverse Functions.notebook January 15, 2014

1. What is your favorite Dr. Seuss story?

2. Which Dr. Seuss story does this character belong to on the right?

Page 2: 1. What is your favorite Dr. Seuss story? 2. Which Dr ... · Unit 7: Linear Functions, Part 2 4.7 Inverse Functions Date Inverse Function stands for the inverse of The domain of a

4 7 Inverse Functions.notebook January 15, 2014

Star On Machine

Star Off Machine

Page 3: 1. What is your favorite Dr. Seuss story? 2. Which Dr ... · Unit 7: Linear Functions, Part 2 4.7 Inverse Functions Date Inverse Function stands for the inverse of The domain of a

4 7 Inverse Functions.notebook January 15, 2014

Star On and Star Off Machines areINVERSES

They undo each other!

Unit 7: Linear Functions, Part 24.7 Inverse Functions

Date

InverseFunction

stands for the inverse of

The domain of a function is the range of the inverse function

and the range of the function is the domain of the inverse function

Two MajorConcepts:

Concept 1:

Page 4: 1. What is your favorite Dr. Seuss story? 2. Which Dr ... · Unit 7: Linear Functions, Part 2 4.7 Inverse Functions Date Inverse Function stands for the inverse of The domain of a

4 7 Inverse Functions.notebook January 15, 2014

In other words, the inverse function undoes whatever the function does

Concept 2:

1. Find the inverse of

2. Graph andWhat do you notice?

Discovering how to find the inverse

For the summers in the past, Mrs. Crowe worked as a lifeguard at the Clinton YMCA.

She made $12 per hour.

Example 1:

Page 5: 1. What is your favorite Dr. Seuss story? 2. Which Dr ... · Unit 7: Linear Functions, Part 2 4.7 Inverse Functions Date Inverse Function stands for the inverse of The domain of a

4 7 Inverse Functions.notebook January 15, 2014

Process for finding the inverse of a

function

1. Switch "x" and "y" from the original function(because the domain and range switch roles in the inverse function)

2. Solve for "y"

3. Replace "y" with

WhiteboardsFind the inverse of each function