Inverses Day 3

Inverses Day 3

Inverses

"Undo" functions

 $f^{-1}\left(x\right)$  : inverse notation
All x & y's switch

What Must Be True of Inverse Graphs?

Graph Features

• x & y switch

• Line of symmetry of y = x

Multiple Choice

are these inverse functions?

• yes

• no

• no way to tell

Multiple Choice

Are these inverse functions

• no

• yes

• no way to tell

Multiple Choice

Graph the inverse (Hint: look at y=x)

Multiple Choice

Graph the inverse

Multiple Choice

Find the inverse of  $f\left(x\right)=3x+2$  

•  $f^{-1}\left(x\right)=\frac{x-2}{3}$  

•  $f^{-1}\left(x\right)=\frac{x-3}{2}$  

•  $f^{-1}\left(x\right)=\frac{3x}{2}$  

•  $f^{-1}\left(x\right)=\frac{2+x}{3}$  

Multiple Choice

Find the inverse of  $f\left(x\right)=-\frac{3}{4}x+5$  

•  $f^{-1}\left(x\right)=5\left(x-\frac{4}{3}\right)$  

•  $f^{-1}\left(x\right)=-\frac{3}{4}\left(x-5\right)$  

•  $f^{-1}\left(x\right)=-\frac{4}{3}\left(x-5\right)$  

•  $f^{-1}\left(x\right)=-5\left(x-\frac{3}{4}\right)$  

Poll

Confidence Level

How are you feeling about inverses?

• 1: Not even close to being ready

• 2: Getting the hang of it

• 3:

Open Ended

Please list which topics you want to most review in class the next few days?

Factoring, Solving Equations (linear/absolute value), Solving Quadratic Equations, Transformations, Inverses