Rational Function Asymptotes

What is/are the Vertical Asymptote(s)?

• x= -4

• x= -4, x= 5

• x= -5, x= 5

• x= 4

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

Identify the vertical asymptote(s).

• x=0

• x=-3

• x=6

• x=-7

• x=3

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

• x = 2

• x = -2

• There are no holes.

• x = 5

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.

• No vertical asymptotes.

• One vertical asymptote: x = 4

• Two vertical asymptotes: x = -3 and x = -7

• Three vertical asymptotes:  x = -3, x = 4, and x = -7

• A hole occurs where x=3

• vertical asymptote at x=3

• vertical asymptote at x=5

• A hole occurs where x=5

Identify the x-value of the hole(s).

**Select all that apply**

• x=0

• x=-3

• x=6

• x=-7

• x=3

• 2

• -2

• -6

• 6

A vertical asymptote is found by setting the _________= to zero and solving for x  (a)  

• Numerator

• Denominator

• Right side 

• Left side