Discontinuities of Functions

Name the discontinuity at x=2. 

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

Tags

CCSS.HSF-IF.C.7D

What is the Vertical Asymptotes? 

• x= -5
• x= 5
• x= 6
• x= -6

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

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

Choose the type of Discontinuity on the given graph

• Infinite

• Rational

• Removable point

• Jump

Tags

CCSS.HSF-IF.C.7D

• Discontinuous at x=3; Jump                 

• Discontinuous at x=3; hole       

• Discontinuous at x=3; VA

• Continuous

Tags

CCSS.HSF-IF.C.7D

• Discontinuous at x=5; Jump

• Discontinuous at x=5; hole

• Continuous

• Discontinuous at x=5; VA

Tags

CCSS.HSF-IF.C.7D

• Continuous      

• Discontinuous at x=4; VA

• Discontinuous at x=4; Jump

• Discontinuous at x=4; Hole

Tags

CCSS.HSF-IF.C.7D

• x = 5, vertical asympotoe 

• x = -5, hole 

• x = -5, vertical asymptote

• continuous on the domain

Tags

CCSS.HSF-IF.C.7D

• A hole occurs where x=3

• vertical asymptote at x=3

• vertical asymptote at x=5

• A hole occurs where x=5

Tags

CCSS.HSF-IF.C.7D