Math 3 Unit 1 Test Review

 $f\left(x\right)=\frac{4}{3}x+6$  
What is the inverse of the function above?

•  $f^{-1}\left(x\right)=-\frac{\left(3x-18\right)}{4}$  

•  $f^{-1}\left(x\right)=\frac{\left(3x+18\right)}{4}$  

•  $f^{-1}\left(x\right)=\frac{\left(3x-18\right)}{-4}$  

•  $f^{-1}\left(x\right)=\frac{\left(3x-18\right)}{4}$  

• -22

• -2

• -10

• 18

 $f\left(x\right)=\frac{1}{2}\sqrt{x+5}+3$  
Identify the domain and range of the function

•  $Domain:\ x\ge-3;\ Range:\ y\ge-5$  

•  $Domain:\ x\ge-5;\ Range:\ y\ge3$  

•  $Domain:\ x\ge5;\ Range:\ y\ge3$  

•  $Domain:\ x\ge-3;\ Range:\ y\ge5$  

 $f\left(x\right)=\frac{1}{2}\sqrt{x+5}+3$  
Which of the following is the inverse function?

•  $f^{-1}\left(x\right)=4x^2-8$  

•  $f^{-1}\left(x\right)=\left(2x-6\right)^2-5$  

•  $f^{-1}\left(x\right)=2x^2-8$  

•  $f^{-1}\left(x\right)=4x^2-11$  

What is/are the x-intercepts of this piecewise function?

• (-1,0)

• (2,0)

• (1, 0)

• (4, 0)

• (0, 1)

What is/are the y-intercepts of the graph

• (-1,0)

• (2,0)

• (1, 0)

• (4, 0)

• (0, 1)

What are the local minimum values of the graph?

• (-1,0)

• (2,0)

• (1, 2)

• (3, 3)

• (5, 2)

What is the absolute maximum value of the graph?

• (-1,0)

• (2,0)

• (1, 2)

• (3, 3)

• (5, 2)

On which intervals is the graph increasing?

• (-1,1)

• (1, 2)

• (2, 3)

• (3, 4)

• (4, 5)

On which intervals is the graph increasing?

• (-1,1)

• (1, 2)

• (2, 3)

• (3, 4)

• (4, 5)