Asymptote and Holes Practice

Find the horizontal asymptote.

• y = -2

• none

• y = 0

• y = 1/2

What are the asymptotes?

• x=-2 and y=-1

• x=-2 and y=1

• x=2 and y=1

• x=2 and y = -1

Find the vertical asymptotes and holes of the function.

• Holes: None;

  VA: x = 1, -3

• Holes: x = -3;

  VA: x = 1

• Holes: x = -3, 1

  VA: None

• Holes: x = 1

  VA: x = -3

Find the vertical asymptote(s), hole(s) and horizontal asymptote.

• V.A.: x = -1
  Holes: x = 2
  H.A.: None

• V.A.: x = 2
  Holes: x = 1
  H.A.: None

• V.A.: x = -1
  Holes: x = 2
  H.A.: y = 1/4

• V.A.: x = 2, -1
  Holes: x = None
  H.A.: None

• None
• x = -4
• x = 3
• x = 4

Select ALL that apply.

• There is a hole at (-5, -3)

• The vertical asymptote is x=0

• The horizontal asymptote is at y=0

• There is no horizontal asymptote.

Select ALL the information that applies to the given rational function.

• Vertical Asymptote is x = -3

• Hole at (1, -2)

• Horizontal Asymptote is y = 2

• No Horizontal Asymptote

• Vertical Asymptote is x = 3

Select ALL the information that applies to the given rational function.

• Vertical Asymptote is x = -4

• No Holes

• Horizontal Asymptote is y = -1/4

• No Horizontal Asymptote

• Vertical Asymptote is x = 4

Which of the following are true? (there can be more than one answer)

• There is a hole at x=3

• There is a hole at x= -2

• The horizontal asymptote is at y=0

• The domain is {x|x≠2,3}

Which statements are true for the given rational function. Select all that apply.

• The horizontal asymptote is at y = 0.

• There is a hole at (6, ¾ ).

• The vertical asymptote is at x = -2.

• The x and y intercepts are at the origin.

• The domain is all real numbers except -2.