1. Warm Up
Solve for y 1. 2. 3. 4. 5.

2. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 4: Inverse Functions

3. 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)

4. 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)

5. Directions (Inverses)
Switch x and y of the original equation
Solve for y
Use inverse operations
SADMEP
Make sure your answer is simplified

6. I DO (Linear Inverse)
Find the inverse and determine if it is a function 1. 2. 3. 4.

7. WE DO (Linear Inverse)
Find the inverse and determine if it is a function 1. 2. 3. 4.

8. YOU DO (Linear Inverse)
Find the inverse and determine if it is a function 1. 2. 3. 4.

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

10. Homework
Worksheet
7.4B (1, 2, 17 – 22)

11. Warm Up Find the inverse and determine if it is a function 1. 𝑦=3𝑥−4
1. 𝑦=3𝑥−4
2. 𝑦=6𝑥
3. 𝑦=− 2 3 𝑥+5
4. 𝑦=−6𝑥+ 1 2

12. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 4: Inverse Functions

13. Today Today we will talk about nonlinear functions and their inverses.
Creating the inverse function
Is it a function?

14. Directions (Inverses)
Switch x and y of the original equation
Solve for y
Use inverse operations
SADMEP
Make sure your answer is simplified

15. FUNCTION???
Graph it
Does it pass the vertical line test?

16. Remember
Inverses
𝑥 2 and
𝑥 3 and 3
𝑥 4 and 4
…….

17. I DO (Exponential Inverses)
Find the inverse and determine if it is a function
1. 𝑦= 𝑥 2
2. 𝑦= 𝑥 3 +4
3. 𝑦= 𝑥 −5
4. 𝑦=2 𝑥 5 +3

18. WE DO (Exponential Inverses)
Find the inverse and determine if it is a function
1. 𝑦= 3𝑥 5
2. 𝑦= −4𝑥 2 −7
3. 𝑦=3 3 2𝑥 +2
4. 𝑦=−8 𝑥 7 − 1 2

19. YOU DO (Exponential Inverses)
Find the inverse and determine if it is a function
1. 𝑦= 2𝑥 19
2. 𝑦= 1 5 𝑥 5 −3
3. 𝑦= 3𝑥 +2
4. 𝑦= 3 5 𝑥 3 −1

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

21. Homework Find the inverse and determine if it is a function 𝑦=2 𝑥 2 −3
𝑦=1− 𝑥 3
𝑦= 4 𝑥 +2
𝑦=3 𝑥 −5