Rational Function Asymptotes and Holes

• 2

• -2

• -6

• 6

• -4

When finding the Horizontal asymptotes of a function, you should be thinking...

• Set Bottom = to Zero

• Top = 0

• f(0)

• Look at the Degree of the top and bottom...

• y = 4
  

• y = -4
  

• y = 5
  

• y = -5
  

• y = 2
  

• y = -2
  

• y = 3
  

• y = -3
  

• y = 7
  

• y = -7
  

• y = 2
  

• y = -2
  

Identify the Vertical Asymptote: f\left(x\right) =- \frac{x+7}{x-6}

• x = 6
  

• x = -6
  

• x = 7
  

• x = -7
  

Where is there a hole on the graph of the function?

• x = 2

• x = -2

• There are no holes.

• x = 5

State the vertical asymptote.

• x = -2/5

• x = -5/2

• x = -5

• x = 2

What are the Vertical Asymptotes of...

• x = 0, -5

• x=0, 5

• x = 2, -7

• x = -2, 7

Find the vertical asymptote(s).

• None

• x = 0

• x= 4

• x = -4, 4