Module 4 Review: Piecewise, Absolute Value, & Inverse Functions

​Module 4 Review:

Piecewise, Absolute Value, & Inverse Functions ​

​Inverse Functions

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Inverse functions "undo" a function by switching it's x & y-values.​

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​Inverse Functions

Multiple Choice

Given $$f\left(x\right)=\frac{x-2}{6}$$ ,  find  $$f^{-1}\left(x\right)$$  .

• $$\frac{x-6}{2}$$  

• $$6x+2$$  

• $$2x+6$$  

• $$6\left(x+2\right)$$  

Multiple Choice

Find the inverse function of:

$$f\left(x\right)=3x-5$$  

• $$f^{-1}(x)=3x+5$$

• $$f^{-1}(x)=\frac{x+5}{3}$$  

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

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

Multiple Choice

Which is the inverse of the table?

​Equation of

ANY Line!

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Multiple Choice

Write the equation for the line in modified point-slope form using the point (0,3).

• $$f\left(x\right)=\frac{1}{4}\left(x-0\right)+3$$  

• $$f\left(x\right)=4\left(x-0\right)+3$$  

Multiple Choice

Write the equation for the line in modified point-slope form using the point (-2,4).

• $$f\left(x\right)=\left(x-2\right)-4$$  

• $$f\left(x\right)=-\left(x+2\right)+4$$  

Multiple Choice

What is the interval (domain) for this line?

• $$2<x<4$$  

• $$-2<x\le4$$  

• $$-2\le x<4$$