Limits of Rational Functions with Graphs

Select all the following statements that are true.

• Vertical asymptote at x=1

• Vertical asymptote at x=0

• No vertical asymptote

• Hole at (-1, 0)

• Hole at (1, -1)

How many discontinuities does f(x) have?

• None

• 1

• 2

• 3

Find the horizontal asymptote of f(x)

• None

• y=6

• y=1/3

• y=3

0/0

DNE

-1/4

1/4

• 0/0

• DNE

• -1/4

• 1/4

• 0
• 0/0
• 1/4
• DNE

• 0

• 1

• 2

• DNE

What is the limit?

• 5/2

• -2/3

• Infinity

• 17/3

What is the limit?

• DNE

• Infinity

• 6

• 12

• 2

• -2

• 1/2

• -1/2

Evaluate

• 21

• -21

• -7

• 7