Maximum and Minimum Word Problems

Maximum and Minimum Word Problems

12th Grade

5 Qs

quiz-placeholder

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Maximum and Minimum Word Problems

Maximum and Minimum Word Problems

Assessment

Quiz

Mathematics

12th Grade

Practice Problem

Hard

Created by

Barbara White

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

On the interval [−2, 2] the function f (x) = x4

(a) has an absolute maximum but no local maxima.
(b) has an absolute maximum at an interior point of the interval.
(c) has a local minimum but no absolute minimum.

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the maximum value of f(x) = x3 - 3x2 - 1 on the interval [-3, 2]?

(3.1, 0)

(0, -1)

(-3, -55)

(2, -5)

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

For each problem, find all points of absolute minima and maxima.

A

B

C

D

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the absolute extrema of

g(x) = 3x3 + 6x2 on [-1, 1].

abs max value of 9 when x = 1, abs min value of 3 when x = -1

abs max value of 9 when x = 1, abs min value of 0 when x = 0

abs max value of 9 when x = 1, abs min of -1 when x = -1

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Given the sign chart for f '(x) and table of f(x), f(x) has ...

a local maximum at (-10,5).

an absolute minimum at (-2,0).

a local minimum at (20,7).

all of the above

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