Asymptotes of Rational Functions

What are the asymptotes?

• x=1, x= 2, y =1, y= 2
• x= 2, x=-2, y = 1
• x=2 y =-1
• x=1 y =2, y =-2

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

What is the horizontal asymptote to this function?

• y=4
• y=0
• y=-2
• y=1

Tags

CCSS.HSA.APR.D.6

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

CCSS.HSA.REI.D.10

What is the horizontal asymptote?

• y = -4
• y = 1
• x = 1
• y = -6

Tags

CCSS.HSA.APR.D.6

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the horizontal asymptote.

• None
• y=-2
• y=2
• y=0

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the horizontal asymptote of this function?

• y=2
• x=1/2
• y=1
• y=1/2

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the Vertical Asymptotes? 

• x= -5
• x= 5
• x= 6
• x= -6

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

What is/are the Vertical Asymptote(s)?

• x= -4

• x= -4, x= 5

• x= -5, x= 5

• x= 4

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.REI.D.10

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.HSA.APR.B.3

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

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

• x = 2

• x = -2

• There are no holes.

• x = 5

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7