Properties of Rational Functions

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

Tags

CCSS.HSF-IF.C.7D

State the vertical asymptote.

• x = -2/5

• x = -5/2

• x = -5

• x = 2

Tags

CCSS.HSF-IF.C.7D

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.

Tags

CCSS.HSF-IF.C.7D

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

• (2, 0)

• (-2, 4/7)

• There are no holes.

• (5, -7)

Tags

CCSS.HSF-IF.C.7D

• 2

• -2

• -6

• 6

Tags

CCSS.HSF-IF.C.7D

Tags

CCSS.HSF-IF.C.7D

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

• vertical
• horizontal
• slant
• none

Tags

CCSS.HSF-IF.C.7D

What are the asymptotes?

• x = -2 and y = -1

• x = -2 and y = 1

• x = 2 and y = 1

• x = 2 and y = -1

Tags

CCSS.HSF-IF.C.7D

What is the hole?

• x= 4
• x= -4
• x= 5
• x= -5

Tags

CCSS.HSF-IF.C.7D

• x=-1 and x=-5

• x=-3 and x=7

• x=1 and x = 5

• x=3 and x=-7

Tags

CCSS.HSF-IF.C.7D