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Extrema and Concavity

Authored by Genna Galluzzo

Mathematics

11th - 12th Grade

CCSS covered

Used 406+ times

Extrema and Concavity
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17 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

a maximum.
a minimum.
no extrema.

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Use the sign chart for f'(x).
There is(are) ...

a local maximum at x = -2.
a local maximum at x = 4.
local maxima at x = -2 and x = 4.
no extrema.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Given the following graph of f', the derivative of f. For what x-value does f have a relative minimum?

x=-1 and x=4
x=-3
x=1
x=3

Tags

CCSS.HSF.IF.B.4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the intervals of concavity for

f(x) = x2 + 2x + 1.

concave up: (-∞,∞)

concave down: (-∞,∞)

concave up: (2, ∞)

concave down: (-∞,2)

concave up: (-∞,2)

concave down: (2, ∞)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 If (a,b) is a local minimum, then what will be true about f'(a)?

It's positive
It's negative
It's zero
Cannot be determined

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the relative minimum values for f(x)=3x4-2x3-9x2

-1

0

1.5

-1 and 1.5

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.APR.B.3

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