Unit 10 Review

Select ALL the information that applies to the given rational function. $f\left(x\right)=\frac{2x^2-2}{x^2-4x+3}$  

• Vertical asymptotes at  $x=1$ and $x=3$   

• Hole at  $\left(1,-2\right)$  

• Horizontal Asymptote at  $y=0$  

• x-intercept at   $\left(-1,0\right)$  

• y-intercept at  $\left(0,\frac{2}{3}\right)$  

How do you know if the graph of a written rational function has a slant asymptote?

Select ALL the information that applies to the given rational function.
 $f\left(x\right)=\frac{x-3}{2x^2-8x+6}$  

• Vertical asymptote at  $x=1$  

• No Holes

• Horizontal asymptote at  $y=0$  

• y-intercept at  $\left(0,-\frac{1}{2}\right)$  

• x-intercept at  $\left(3,0\right)$  

What is the equation of the rational function graphed?

• 
• 
• 
• 

What is the domain and range?

What is the Horizontal Asymptote?

• y= 0
• y= 4
• y= 5
• y= -5

What is the domain and range?

• D : $\left(-\infty,-3\right)\cup\left(-3,\infty\right)$
  R: $\left(-\infty,1\right)\cup\left(1,\infty\right)$

• D : $\left(-\infty,1\right)\cup\left(1,\infty\right)$
  R: $\left(-\infty,-3\right)\cup\left(-3,\infty\right)$

• D : $\left(-\infty,3\right)\cup\left(3,\infty\right)$
  R: $\left(-\infty,1\right)\cup\left(1,\infty\right)$

• D: $\left(-\infty,-1\right)\cup\left(-1,\infty\right)$
  R: $\left(-\infty,3\right)\cup\left(3,\infty\right)$

Divide.

• undefined
• 0
• 15
• -0

Describe the transformations of the function.

• Shift up by 2 units

  Reflected over the x-axis

• Shift down by 2 units

  Reflected over the y-axis

• Shift up by 2 units

  Reflected over the y-axis

• Shift left by 2 units

  Reflected over the x-axis