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Lesson: Locating Absolute Extrema

In this lesson, we will learn how to find the absolute maximum and minimum.

Worksheet: Locating Absolute Extrema • 12 Questions

Q1:

Find, if any, the local maximum and local minimum values of , together with their type.

Aabsolute maximum is , absolute minimum is
B absolute maximum is , absolute minimum is
C absolute maximum is , absolute minimum is
D absolute maximum is , absolute minimum is

Q2:

Find, if they exist, the values of the absolute maximum and/or minimum points for the function where .

AThe function has an absolute minimum value of and an absolute maximum value of .
BThe function has an absolute maximum value of.
CThe function has an absolute maximum value of and an absolute minimum value of .
DThe function has an absolute minimum value of.
EThe function has no absolute maximum or minimum points.

Q3:

Find the absolute maximum and absolute minimum of

A The absolute maximum value is 64 at , and the absolute minimum value is 4 at .
B The function has no absolute maximum or minimum values.
C The absolute maximum value is 25 at , and the absolute minimum value is 4 at .
D The absolute maximum value is 64 at , and the absolute minimum value is 25 at .
E The absolute maximum value is 64 at , and the absolute minimum value is 25 at .

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