Asymptotes & Holes of Rational Functions

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

• vertical

• horizontal

• slant

• none

Tags

CCSS.HSA.APR.D.6

Find the coordinates of the hole.

• (-3, -3)

• (-3, 3)

• (3, -3)

• (3, 3)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.D.6

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.HSA.APR.B.3

CCSS.HSA.APR.D.7

Where is the hole?

• x= 4

• x= -4

• x= 5

• x= -5

What is the Vertical Asymptotes? 

• x= -5
• x= 5
• x= 2
• x= -2

Tags

CCSS.HSA.APR.D.7

What (if any) holes exist?

• x=2

• x=2 and x=3

• x=-3

• x=3

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.D.6

What is/are the vertical asymptote(s)?

• x=-2
• x=2 and x=3
• x=-3
• x=3

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

What is the horizontal asymptote?

• y = -4
• y = 1
• x = 1
• y = -6

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What are the asymptotes?

• x=-1 y = -3
• x=1 y = -3
• x=-1 y =3
• x=1, y=3

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

Where is the horizontal asymptote?

• y= 6

• y= 1

• y= 0

• none

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7