AP Calculus Unit 1-4 Review

What is the limit?

• Infinity
• 20
• DNE
• 12

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

What is the limit?

• DNE
• 2/3
• 1/4
• Infinity

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.REI.A.2

• Does not exist
• 2
• 0
• 1

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

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

• 2
• -4
• DNE
• -2

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the limit?

• DNE
• Infinity
• 6
• 12

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

• 1
• Does not exist
• 0
• -1

TRUE OR FALSE? If f is continuous on [-1,1], f(-1)=4 and f(1)= -2, then there is a zero between -1 and 1.

• TRUE by Intermediate Value Theorem

• FALSE

• CANNOT BE DETERMINED

What three conditions must exist for a function to be continuous?

• ƒ(c) must exist

• the limit as x → c must exist

• the limit as x →c must equal ƒ(c)

• all functions are continuous

Tags

CCSS.HSF-IF.C.7D

Find the second derivative of the function:
f (x) =  2x - 5x⁶

• f ''(x)= 2 - 30x
• f ''(x) =  2-30x⁵
• f ''(x) = -30x⁵
• f ''(x) = -150x⁴

• Mean value theorem
• Rolle's theorem
• Intermediate Value Theorem
• Fundamental Theorem of Calculus