Holes of Rational Functions

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

What is the hole?

• x= 4

• x= -4

• x= 5

• x= -5

Where is the horizontal asymptote?

• y= 5

• y= 0

• y= 1

• y= 6

Are there any "holes" in the graph? If so...where?

• yes, at x= -1

• yes, at x= 1

• yes, at x= 0

• no

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