Math 2 - Unit 5 Review

Identify the RANGE of the function.

• (- ∞, -2 ]

• [ -2, + ∞ )

• (- ∞, + ∞ )

• [ 0, + ∞)

Which of these equations shifts a the parent function right 5 times and down once?

• $y=\sqrt{x-5}-1$

• $y=\sqrt{x+5}-1$

• $y=\sqrt{x-1}-5$

• $y=\sqrt{x+1}+5$

Describe the transformations of the parent function.

 $y=2\sqrt{x}-5$  

• Vertical Stretch by a factor of 2

  Down 5 units

• Right 2 units

  Down 5 units

• Vertical compression by a factor of 2

  Left 5 units

• Vertical stretch by a factor of 2

  Right one unit

Describe the transformation from the parent function.

 $f\left(x\right)=\frac{1}{3}\sqrt{x}$  

• Vertical Stretch × 3

• Vertical Compression ×  $\frac{1}{3}$  

• Horizontal Compression ×  $\frac{1}{3}$  

• Horizontal Stretch × 3

Describe the transformation from the parent function.

 $f\left(x\right)=-\sqrt{x+1}+2$  

• Left 1, Up 2, Reflect over x-axis

• Left 1, Up 2, Reflect over y-axis

• Right 1, Up 2, Reflect over x-axis

• Right 1, Up 2, Reflect over y-axis,

Find the inverse of the function.

 $f\left(x\right)=4x+12$  

•  $f^{-1}\left(x\right)=-4x-12$  

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

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

•  $f^{-1}\left(x\right)=x-3$  
  

Which is true about the graphs of inverse functions?

• They're a reflection over y=x.

• They're symmetrical over the y-axis

• They're symmetrical over the x-axis

• Depends on the function.

What is the inverse of the function

 $f\left(x\right)=x+2$  

•  $f^{-1}\left(x\right)=x-2$  

•  $f^{-1}\left(x\right)=x+2$  
  

•  $f^{-1}\left(x\right)=-x+2$  

•  $f^{-1}\left(x\right)=-x-2$  

What is true about the inverse of a function?

• the x's and y's are switched

• the x's and y's are divided by 2

• the x's and y's are made negative

• the x's and y's are the same

Find the inverse of  $f\left(x\right)=x^2-5$  

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

•  $f^{-1}\left(x\right)=x+25$  
  

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

•  $f^{-1}\left(x\right)=\sqrt{x}-5$