Discontinuity

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.HSA.APR.D.7

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

there is a vertical asymptote

• when the denominator equals zero
• when the degree of the numerator is exactly one more than the denominator
• when there is a common factor in the numerator and denominator
• when the degree of the numerator is the same as the denominator

Tags

CCSS.HSF-IF.C.7D

There is a Removable discontinuity in the graph

• when the numerator and denominator have a common factor

• where the denominator equals zero

• if the degree of the numerator is exactly one more than the denominator

• if the degree of the numerator and denominator are the same.

Tags

CCSS.HSF-IF.C.7D

Where are the discontinuities?

• holes: x=-3

  asymptotes: x=-1

• holes: none

  asymptotes: x=-1

• holes: x=-1

  asymptotes: x=-3

• holes: x=-1

  asymptotes: none

Tags

CCSS.HSF-IF.C.7D

Where do you think the function is undefined?

• x = 0
• x = 4
• x = -4
• It's defined over all real numbers.

Tags

CCSS.HSF-IF.C.7D