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  5. 3 2 Critical Numbers And Extrema

3-2 Critical Numbers and Extrema

Authored by Michelle Muller

Mathematics

12th Grade

CCSS covered

Used 19+ times

3-2 Critical Numbers and Extrema
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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Determine the critical number(s) for the following function:

f(x) = x³ - 3x²

x = 0, 2

x = 1, 3

x = 0, -2

x = 0, 3

Tags

CCSS.HSA.APR.B.3

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Determine the critical number(s) of the following function.

x = -1

x = 2

x = -2

x = 1

Tags

CCSS.HSA.REI.B.4

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Determine the critical number(s) for the following function:

f(x) = 4x -5

x = 4

x = 0

there are no critical numbers

x = 2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

List all of the critical values (x-locations of the critical points) of the graphed function.

{-2. 0}
{-2, 1}
{-4, -2, 0}
Cannot be determined

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A critical number, c, or a function f is a number in the domain of f such that:

f'(c) = 0
f'(c) is undefined
f'(c) = o or f'(c) is undefined
None of the above

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What are the intervals of the graph increasing for f(x) = 2x4- 4x2 + 1

(-1,0)
(0,1)
(-∞,-1) and (1,∞)
(0,1) and (-1,0)

Tags

CCSS.HSA.APR.B.3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the critical numbers of a function?

Critical numbers only occur when f'(x) = 0.

Critical numbers only occur when f'(x) is undefined.

Critical numbers occur when f'(x) = 0 or where f'(x) is undefined.

Critical numbers occur as x-intercepts on the graph.

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