Asymptote and Holes Practice

• There is no horizontal asymptote. 

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)

Choose the correct statement.

• The function has a hole at x = - 3

• The function has a hole at x = 3

• The function has an asymptote at x = 3

• The function has an asymptote at x = - 3

What are the equations of the asymptotes of the given graph

• x=1, x= 2, y =1, y= 2

• x= 2, x= -2, y = 1

• x=2 and  y= -1

• x=1, y =2, y = -2

Find the horizontal or oblique asymptote.

• y = x

• y = x - 8

• y = x - 4

• y = x + 4

Where is the horizontal asymptote?

• y= 6

• y= 1

• y= 0

• none

Find the oblique asymptote.

• y = 3x - 12

• y = x + 5

• y = 3x - 5

• y = 3x - 7

What are the coordinates of the hole, if one exists.

• (-1, -2)

• (-1, ½)

• (-1, -½)

• there isn't one

Where is there a hole on the graph of the function?

• x = 2

• x = -2

• There are no holes.

• x = 5

What is the horizontal asymptote?

• y = -4

• y = 1

• x = 1

• y = -6