Limits and Continuity Review

Let f be the function defined above where c is a constant. For what value of c, if any is f continuous at x=c ?

• 6

• 8

• 10

• There is no such value c

Tags

CCSS.HSF-IF.C.7B

Let f be the function defined above where c is a constant. For what value of c, if any is f continuous at x=c ?

• 6

• 8

• 10

• There is no such value c

Tags

CCSS.HSF-IF.C.7B

• 2 only

• 0 only

• 1 only

• 0 and 2 only

Tags

CCSS.HSF-IF.C.7B

• 3
• 0
• 1
• Does not exist

Find the value that makes the function continuous

• c=1/3
• c=3
• c=-3
• c=-1/3

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

• Continuous

• Removable discontinuity

• Non-removable discontinuity

Find the vertical asymptote(s) (if any) of the graph of the function.
 3x / (x² + 9)

• x=3
• x=0
• None
• X=3, x=-3

Tags

CCSS.HSF-IF.C.7D

Let f be a function that is continuous on the interval (1, 10). If f(2) = -5 , f(5) = 5 and f(9) = -5, which must be true?

I.  f(x) has a least 2 zeros
II.  For some c, 2 < c < 9, f(c) = 3  
III.  The graph of f(x) has a horizontal tangent

• I. only
• I. and II.
• I. , II. and III.
• II. and III.

Which of the following must be true for a function to be continuous at a point, a? (select all that apply)

• f(a) must exist

• the limit as x approaches a must exist

• the function has to go to infinity

• f(a) and the limit as x approaches a must be equal

• you won't need to do any factoring/simplifying when finding the limit

Determine the value of the limit

• ∞

• -∞

• DNE

• 0

Tags

CCSS.HSF-IF.C.7E