Precalc Semester 1 Final Exam Review

Describe the transformation of y = g(x) for the function
y = 3g(x - 3) + 5

• Shifted up 5 units
  Shifted right 3 units
  Stretched vertically by a factor of 3
• Shifted up 5 units
  Shifted left 3 units
  Stretched vertically by a factor of 3
• Shifted down 5 units
  Shifted left 3 units
  Stretched vertically by a factor of 3
• Shifted down 5 units
  Shifted left 3 units
  Stretched vertically by a factor of 1/3

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

• reflected over x axis, stretched by 2, right 3, up 3
• reflected over x axis, stretched by 2, left 3 up 3.
• reflected over x axis, shrunk by 2, right 3, up 3
• reflected over the x axis, shrunk by 2, left 3, up 3

What are the transformations of this functions compared to the parent function y = √(x)?

• Shifted right 5, shifted down 2, and reflected over the x-axis
• Reflected over the x-axis, vertical stretch, and shifted right 5
• Reflected over the x-axis, vertical stretch, and shifted left 5
• Shifted right 5, shifted down 2

Describe the transformation of y = f(x) for the new function
 y = f(- x)

• The graph of y = f(x) was flipped vertically across the x axis. 
• The graph of y = f(x) was flipped horizontally across the y axis.
• The graph of y = f(x) was shifted down.
• The graph of y = f(x) was shifted up

Find the domain of  $g\left(x\right)=\sqrt{2x-4}$  

•  $\left(-\infty,2\right)\left(2,\infty\right)$  

•  $\left[2,\infty\right)$  

•  $\left(-\infty,2\right]$  

•  $\left(-\infty,\frac{1}{2}\right)\left(\frac{1}{2},\infty\right)$  

 $f\left(x\right)=\frac{1}{x-5}$  Find the domain of

•  $\left(-\infty,5\right)U\left(5,\infty\right)$  

•  $\left[5,\infty\right)$  

•  $\left(-\infty,5\right]$  

•  $\left(-\infty,\infty\right)$  

Find the domain of  $f\left(x\right)=\frac{1}{\sqrt{x-5}}$  

•  $\left(-\infty,5\right]$  

•  $\left(-\infty,5\right)\left(5,\infty\right)$  

•  $\left(5,\infty\right)$  

•  $\left[5,\infty\right)$  

Even, odd, or neither?

• Even

• Odd

• Neither

Is the graph an even, odd, or neither function?

• Even
• Odd
• Neither

Find the oblique asymptote.

• y = 3x - 12
• y = x + 5
• y = 3x - 5
• y = 3x - 7