BC Fall Review

Which one of the following statements is always true?

• When a graph is increasing, its derivative is negative.

• When a graph is decreasing, so is its derivative.

• When a graph is decreasing, its derivative is negative.

• When a graph is increasing, so is its derivative.

Tags

CCSS.HSF.IF.B.4

Identify the critical points of the following function:
g(x)=2x³-3x²

• x=-1,1
• x=0,0
• x=0,-1
• x=0,1

Tags

CCSS.HSA.APR.B.3

f''(x) is pictured. Which x values are inflection points of f(x)?

• x=-5 and -1
• x=-3
• x=4
• no inflection points

Tags

CCSS.HSA.REI.D.10

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.7B

For a function f(x), f'(-3) = 5 indicates f(x) is ___________ at x=-3.

• increasing
• decreasing
• concave up
• concave down

Select the correct derivative of f(x).

• A.

• B.

• C.

• D.

Tags

CCSS.HSF.IF.C.7

For a function g(x), g''(3)=-8 indicates that g(x) is ____________ at x=3.

• increasing
• decreasing
• concave up
• concave down

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

f(x) is pictured. Inflection points are most likely at which x values?

• x=0 and 1.5
• x=2 and 2.5
• x=2.25
• x=1

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

When f'(x) changes from positive to negative, there is(are) ...

• a maximum.
• a minimum.
• no extrema.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7