Types of discontinuities

Identify the type of location of the discontinuity/discontinuities.

• Removable at x = 5 ; Infinite at x = -1

• Removable at x = -5 ; Infinite at x = 1

• Infinite at x = 1

• Infinite at x = 2

Tags

CCSS.HSF-IF.C.7D

Identify the type of location of the discontinuity/discontinuities.

• Infinite at x = 4

• The function is continuous

• Removable at x = 4

• Jump at x = 4

Tags

CCSS.HSF-IF.C.7D

Identify the type of location of the discontinuity/discontinuities.

• Infinite at x = -2

• Infinite at x = 2

• Infinite at x = 2; Infinite at x = -2

• Removable at x = -2, Infinite at x = 2

Tags

CCSS.HSF-IF.C.7D

Identify the type of location of the discontinuity/discontinuities.

• Infinite at x = 2, Removable at x = -6

• Infinite at x = -6, Removable at x = 2

• Infinite at x = 2

• Removable x = 2

Tags

CCSS.HSF-IF.C.7D

Where are the discontinuities?

• holes: x=-1

  asymptotes: x=5/3

• holes: x=-1

  asymptotes: x=2/3

• holes: x=1

  asymptotes: x=5/3

• holes: x=1

  asymptotes: x=2/3

Tags

CCSS.HSF-IF.C.7D

Where are the discontinuities?

• holes: none

  asymptotes: x=1/8

• holes: x=-1

  asymptotes: x=1/8

• holes: none

  asymptotes: x=0

• holes: x=-1

  asymptotes: x=0

Tags

CCSS.HSF-IF.C.7D

Name the discontinuity at x=2. 

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

Tags

CCSS.HSF-IF.C.7D

Name the discontinuity at x=2. 

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

Tags

CCSS.HSF-IF.C.7B

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

Name the discontinuity at x=2. 

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

Tags

CCSS.HSA.REI.D.10