Discontinuities of Functions

Name the discontinuity at x=2. 

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

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.REI.D.10

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

Tags

CCSS.HSA.APR.D.7

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

CCSS.HSA.REI.D.10

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.HSA.APR.D.6

CCSS.HSA.APR.D.7

Which of the following graphs presents an infinite discontinuity at x = 1? (Hint: This means BOTH sides of the discontinuity go towards + or - infinity!

• 
• 
• 
• 

Tags

TEKS.MATH.2A.2A

TEKS.MATH.2A.6G

What is the removable point discontinuity?

• x= 4

• x= -4

• x= 5

• x= -5

Choose the type of Discontinuity on the given graph

• Infinite

• Rational

• Removable point

• Jump

• Discontinuous at x=3; Jump                 

• Discontinuous at x=3; hole       

• Discontinuous at x=3; VA

• Continuous

• Discontinuous at x=5; Jump

• Discontinuous at x=5; hole

• Continuous

• Discontinuous at x=5; VA