Discontinuity Domain Range

Name the discontinuity at x=2. 

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

Name the discontinuity at x=2. 

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

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.

Where do you think the function is undefined?

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

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

Where are the discontinuities?

• holes: x=5

  asymptotes: x=3

• holes: x=3

  asymptotes: x=5

• holes: x=-5

  asymptotes: x=-3

• holes: x=-3

  asymptotes: x=-5

Where are the discontinuities?

• holes: x=-3

  asymptotes: x=2

• holes: none

  asymptotes: x=-3,2

• holes: none

  asymptotes: x=-2,3

• holes: x=3

  asymptotes: x=-2

Name the discontinuity at x=2. 

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

Name the discontinuity at x=2. 

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

Name the discontinuity at x=2. 

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