Asymptotes and Discontinuities

Select the graph that show the corresponding vertical & horizontal asymptotes to this function

• 
• 
• 
• 

Find the horizontal asymptote.

• None

• y=-2

• y=2

• y=0

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

Which of the following best describes the continuity at x = 1?

• Continuous

• Removable Point Discontinuity

• Infinite Discontinuity

• Jump Discontinuity

Which of the following graphs presents a removable/hole discontinuity at x = -2?

• 
• 
• 
• 

Which of the following graphs presents an infinite discontinuity at x = 1?

• 
• 
• 
• 

Which of the following graphs presents jump discontinuity at x = 1?

• 
• 
• 
• 

What is/are the vertical asymptote(s)?

• There are no vertical asymptotes

• x=5

• x=-5

• x=-1/2

What is the hole?

• x= 4

• x= -4

• x= 5

• x= -5