Asymptotes and Holes of Rational Functions

Name any holes of the function.

• x=0

• none

• x=1

Find the coordinates of the hole.

• (-3, -3)

• (-3, 3)

• (3, -3)

• (3, 3)

Where is the hole?

• x= 4

• x= -4

• x= 5

• x= -5

What is the horizontal asymptote to this function?

• x=-2

• y=0

• y =-2

• y=4

What is the Vertical Asymptotes? 

• x= -5

• x= 5

• x= 2

• x= -2

Where are the vertical asymptotes?

• x= -3 and x= 3

• x= 0

• x= 3

• none

How many vertical asymptotes does the function have?

• None

• 1

• 2

• 3

Which asymptote(s) are determined by looking at the denominator?

• vertical

• horizontal

• slant

• none

A hole occurs when....

• You wear pants that are too tight.

• A factor from the numerator cancels with a factor in the denominator.

• The degree of the numerator is one more than the degree of the denominator.

• The denominator cannot be factored.

Which statement about the graph is true

• Horizontal Asymptote at y=0

• No Horizontal Asymptote, Slant Asymptote instead

• No Horizontal Asymptote, Oblique Asymptote instead

• Horizontal Asymptote at y=1