AP Calculus Limits and Continuity

Determine whether f(x) approaches + or - infinity as x approaches 4 from the left.

• + Infinity
• - Infinity
• Either one.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Determine whether the graph of the function has a vertical asymptote or a removeable discontinuity at x = -1.

• Vertical Asymptote
• Discontinuity
• Bob, bob, bob
• Infinite

Tags

CCSS.HSF-IF.C.7D

Determine whether f(x) approaches + or - infinity as x approaches 4 from the right.

• + Infinity
• - Infinity
• Either one.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the limit of the function as x approaches -4 from the left?

• 2
• -4
• DNE
• -2

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

• x=2
• x=-2
• None
• X=2, x=-2

Tags

CCSS.HSF-IF.C.7D

In a rational function f(x), the horizontal asymptote is obtained finding limit when x approaches to plus or minus infinity.

• True
• False

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

If f(x)=ax² for x>= 1 and f(x)= x +2 for x<1, and f(x) is continuous at x=1, then the value of a is:

• 0
• 1
• 2
• 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

What is the limit?

• DNE
• Infinity
• 6
• 12

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

Evaluate

• -7
• 0
• 1
• DNE

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

• Does Not Exist
• 9
• 1
• 0

Tags

CCSS.HSA.APR.D.7