Quiz 4-4

Find the antiderivative of
x²

• (1/3)x³+C
• x³
• (1/3)x³
• 2x

If f'(x) = 4x and f(1) = 6, then f(2) =

• 6

• 8

• 9

• 12

Tags

CCSS.HSF.IF.A.2

Given g(x) = x + 2 and G(0) = 3, find G(x).

• 1/2 x² + 2x + 3

• 1/2 x² + 2x + 6

• x² + 3

• x² + 2x + 6

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

Which function has the derivative of g'(x) = 4x³ + 2x - 1

• g(x) = 2x⁴ + 2x² - 1

• g(x) = x⁴ + x² - x

• g(x) = 2x³ + x³ - 2x

• g(x) = x⁵ + x² - x

Tags

CCSS.HSA.APR.A.1

Consider the  $f'\left(x\right)$  sign chart.  What can you conclude about the point  $x=2$  on  $f\left(x\right)$  ?

• local maximum

• local minimum

• stationary point/platuae point

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

7.

• (A)

• (B)

• (C)

• (D)

Which of the following statements must be true?

I. f has a relative Min at x=-3.

II. The graph of f has a point of inflection at x=2.

III. The graph of f is concave down for 0 < x < 4.

• I only

• II only

• III only

• I and II only

• I and III only

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The graph of f''(x) is pictured. Over which interval is f(x) concave up?

• (-infinity, 3)
• (-5, -1)
• nowhere
• (0, 4)

Tags

CCSS.HSF-IF.C.7E

If given f'(x) how would you find the intervals which the graph f(x) has a positive slope?

• f'(x) < 0

• f'(x) > 0

• f'(x) is increasing

• f'(x) is concave up