Find the Absolute Extreme Values of the Function on the Interval

question 158

Multiple Choice

Find the absolute extreme values of the function on the interval.
- $$F ( x ) = \sqrt [ 3 ] { x } , - 3 \leq x \leq 8$$

• A) absolute maximum is 2 at \(x = 8\); absolute minimum is \(- 2\) at \(x = - 8\)
• B) absolute maximum is 2 at \(x = - 8\); absolute minimum is 0 at \(x = 0\)
• C) absolute maximum is 0 at \(x = 0\); absolute minimum is 2 at \(x = 8\)
• D) absolute maximum is 2 at \(x = 8\); absolute minimum is 0 at \(x = 0\)

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Definitions:

Personal Dispositions

Inherent personality traits and tendencies that influence behavior and perspectives.

Role Playing

A method involving acting out or performing a particular role, either as a training exercise, in therapy, or in gaming contexts, to develop skills or understand perspectives.

Cognitive Dissonance

The psychological discomfort experienced when holding two or more conflicting cognitions (beliefs, attitudes, or values).

Peripheral Route Persuasion

A method of persuasion that relies on superficial cues or associations, rather than logical argument, to influence someone's attitude or behavior.