Asymptotes and Holes

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

State the vertical asymptote.

• x = -2/5

• x = -5/2

• x = -5

• x = 2

The equation of a vertical asymptote is written in the form:

• x=

• y=

• none of the above

Which of the following is determined by just looking at the denominator?

• vertical asymptote

• horizontal asymptote

• holes

• slant asymptote

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

• yes, at x= -1

• yes, at x= 1

• yes, at x= 0

• no

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 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.

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.

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