Asymptotes and Discontinuities Algebraically

What are the Vertical Asymptotes of...

• x = 0, -5
• x=0, 5
• x = 2, -7
• x = -2, 7

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.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

CCSS.HSA.REI.D.10

Find the horizontal asymptote.

• None
• y = 0
• y = -1/3
• y = -3

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

Find the horizontal asymptote.

• y = -2
• none
• y = 0
• y = 1/2

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

Find the horizontal asymptote.

• None
• y=-2
• y=2
• y=0

Tags

CCSS.HSA.APR.D.6

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Where are the discontinuities?

• holes: (5, 5)

  asymptotes: x=3

• holes: (3, 0)

  asymptotes: x=5

• holes: (-5, 5/4)

  asymptotes: x=-3

• holes: (5, 0)

  asymptotes: x=-3

Where are the discontinuities?

• holes: (-3,, 1)

  asymptotes: x=-1

• holes: none

  asymptotes: x=-1

• holes: (-1, 0)

  asymptotes: x=-3

• holes: (-1, 2)

  asymptotes: none

Name the discontinuity at x=2. 

• Infinite Discontinuity
• Removable Discontinuity
• Jump Discontinuity
• Continuous at x=2

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7