Asymptotes and Continuity

The following function is not continuous at x = 3 because...

• f(3) does not exist
• limit from left of 3 does not equal limit from right of 3
• 3 is not a lucky number

Find the vertical asymptote(s) (if any) of the graph of the function.

• None
• x=2
• x=-2
• x=0

Tags

CCSS.HSF-IF.C.7D

What is the horizontal asymptote to this function?

• 4
• 0

Tags

CCSS.HSF-IF.C.7D

Which asymptotes are determined by looking at the denominator of a function? 

• vertical
• horizontal
• slant
• none

Tags

CCSS.HSF-IF.C.7D

What are the asymptotes?

• x=-2 y=-1
• x=-2 y=1
• x=2 y=1
• x=2 y = -1

Tags

CCSS.HSF-IF.C.7D

Which of the following best describes the continuity at x = 5?

• Continuous
• Removable Point Discontinuity
• Non-removable Infinite Discontinuity
• Non-removable Jump Discontinuity

Tags

CCSS.HSF-IF.C.7D

Find the value that makes the function continuous

• c=1/3
• c=3
• c=-3
• c=-1/3

• DNE

• 9

• 1

• 0

What is the horizontal asymptote to this function?

• x=4

• y=0

• x=0

• y=4

What are the asymptotes?

• x=-2 and y=-1
• x=-2 and y=1
• x=2 and y=1
• x=2 and y = -1

Tags

CCSS.HSF-IF.C.7D