Review of Limits, Continuity and Rates of Change

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

• 2
• -4
• DNE
• -2

Tags

CCSS.HSA.REI.D.10

• 0
• ∞
• - ∞
• DNE

 

Matching.

• 5

• -1

• DNE

• -1

What is the limit?

• ∞
• 20
• DNE
• 12

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

A function is continuous if the limits to left exist and is equal to the function value.

• True
• False

What is the limit?

• 5/2
• -2/3
• Infinity
• 17/3

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the limit?

• DNE
• Infinity
• 6
• 12

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Find the limit as x approaches 0 from the right.

• 0
• ∞
• -∞
• 1

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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