Warm Up Solve for y 1. 2. 3. 4. 5.. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 4:...

Warm Up• Solve for y

• 1.• 2.• 3. • 4.• 5. yx

yx

yx

xy

xy

483

662

63

242

63

Algebra 3Chapter 7: Powers, Roots, and RadicalsLesson 4: Inverse

Functions

VOCAB• Inverse Relation – maps the output

values back to their original input values• Inverse Function - when the original

relation and the inverse relation are both functions• Function – an equation where the x

values will not repeat (it will pass the vertical line test)

Today• Starting today we will learn how to find

inverse functions.• Today we will talk about linear functions

and their inverses.–Creating the inverse function–Is it a function?

• Tomorrow we go to nonlinear (having exponents)

Directions (Inverses)• Switch x and y of the original

equation• Solve for y–Use inverse operations–SADMEP

•Make sure your answer is simplified

I DO (Linear Inverse)• Find the inverse and determine if it is a function

•1. •2.•3.•4. 6

3

2

12

5

42

xy

xy

xy

xy

WE DO (Linear Inverse)• Find the inverse and determine if it is a function

•1. •2.•3.•4. 511

62

1

33

52

xy

xy

xy

xy

YOU DO (Linear Inverse)• Find the inverse and determine if it is a function

•1. •2.•3.•4. 138

4

13

712

115

4

xy

xy

xy

xy

Review

• Today you learned how to find an inverse of a linear equation and determine if it’s a function.

Homework

• Worksheet– 7.4B (1, 2, 17 – 22)

Warm Up

• Find the inverse and determine if it is a function

• 1. • 2. • 3. • 4.

Algebra 3Chapter 7: Powers, Roots, and RadicalsLesson 4: Inverse

Functions

Today• Today we will talk about nonlinear

functions and their inverses.–Creating the inverse function–Is it a function?

Directions (Inverses)• Switch x and y of the original

equation• Solve for y–Use inverse operations–SADMEP

•Make sure your answer is simplified

FUNCTION???

• Graph it• Does it pass the vertical line test?

Remember

• Inverses• and • and• and • …….

I DO (Exponential Inverses)

• Find the inverse and determine if it is a function• 1. • 2. • 3. • 4.

WE DO (Exponential Inverses)

• Find the inverse and determine if it is a function• 1. • 2. • 3. • 4.

YOU DO (Exponential Inverses)

• Find the inverse and determine if it is a function• 1. • 2. • 3. • 4.

Review

• Today you learned how to find an inverse of a nonlinear equation and determine if it’s a function.

Homework

Find the inverse and determine if it is a function