Rational Holes and Asymptotes

• x = 0

• x = 6

• x = -6

• x = 4

• x = -3

• x = 5

• x = -3 and x = 5

• x = 0

• Does Not Exist

• x = 0

• x = 2

• x = 7

• x = -7

• Does Not Exist

• x = 2

• x = 7

• x = 2 and x = 7

• x = 0

• Does Not Exist

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

• Vertical Asymptote is x = 2

• No Hole

• Horizontal Asymptote is y = -1/3

• x-intercept is (3, 0)

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}

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

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

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

• The horizontal asymptote is at y = 0.

• 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 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.