Continuity

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

What are the vertical asymptotes of the function f(x)=(x²-9)/(x²+6x+9)

• x=3

• x=-3

• x=3,-3

• no vertical asymptote

Tags

CCSS.HSF-IF.C.7D

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

• True

• False

• cannot be determined

What is the horizontal asymptote?

• y = -4
• y = 1
• x = 1
• y = -6

Tags

CCSS.HSF-IF.C.7D

• 1

• 0

• DNE

• 4

• 0

• y = 0
• y = 1/2
• y = 2
• None

Tags

CCSS.HSF-IF.C.7D

What is the limit as x approaches 3 from the left?

• negative infinity
• infinity
• 3
• 1

• No vertical asymptotes.

• One vertical asymptote: x = 4

• Two vertical asymptotes: x = -3 and x = -7

• Three vertical asymptotes:  x = -3, x = 4, and x = -7

Tags

CCSS.HSF-IF.C.7D