PreCalculus Section 1.6 Part 1

PreCalculus Section 1.6

Graphs of Functions

​Inverse Functions Part 1

Open Ended

What does the word Inverse mean?  Define in your own words.

Multiple Select

Which of the following is the inverse of 2?

• -2

• $$\frac{1}{2}$$  

• $$-\frac{1}{2}$$  

• none of these

Multiple Select

Which of the following is the additive inverse of 2?

• -2

• $$\frac{1}{2}$$  

• $$-\frac{1}{2}$$  

• none of these

Multiple Select

Which of the following is the multiplicative inverse of 2?

• -2

• $$\frac{1}{2}$$  

• $$-\frac{1}{2}$$  

• none of these

Open Ended

Inverse functions

What is the inverse function of  $$f\left(x\right)\ =\ \frac{1}{3}x-2$$  

Draw

Find the inverse of the function

y = x + 4

Multiple Select

If $$f\left(x\right)\ =\ 4x$$  

Find $$f^{-1}\left(x\right)=?$$  

• $$f^{-1}\left(x\right)=\frac{1}{4x}$$  

• $$f^{-1}\left(x\right)=4-x$$  

• $$f^{-1}\left(x\right)=\frac{1}{4}x$$  

• $$f^{-1}\left(x\right)=\frac{x}{4}$$  

Open Ended

If $$f\left(x\right)\ =\ 4x$$  

Find $$f^{-1}\left(f\left(x\right)\right)=?$$  

Multiple Choice

What is the line of reflection for two inverse functions?

• x-axis

• y-axis

• y = x

• y = -x

Multiple Choice

If the following points are on our graph: { (2, 4), (3, -2,), (-4, 9)} , which of the following points must be a point on the inverse function?

• (-2, -4)

• (2, 3)

• (9, -4)

• (4, -9)

​Homework

​Page 67

# 1 - 3, 7, 10, 15 – 19, 21, 25

​Find the inverse of the function: