Identify the Function's Local and Absolute Extreme Values, If Any $$f ( x ) = - x ^ { 3 } - 1.5 x ^ { 2 } + 18 x - 2$$

question 16

Multiple Choice

Identify the function's local and absolute extreme values, if any, saying where they occur.
- $$f ( x ) = - x ^ { 3 } - 1.5 x ^ { 2 } + 18 x - 2$$

• A) local maximum at \(x = - 3\); local minimum at \(x = 2\)
• B) local maximum at \(x = 3\); local minimum at \(x = - 2\)
• C) local maximum at \(x = 2\); local minimum at \(x = - 3\)
• D) local maximum at \(x = - 2\); local minimum at \(x = 3\)

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Definitions:

Attention

The process of selectively concentrating on one aspect of the environment while ignoring other things.

Short-term Memory

The capacity for holding, but not manipulating, a small amount of information in mind in an active, readily available state for a short period of time.

Plus Or Minus

A symbol indicating the precision of an approximation or variation that could occur within a certain range.

Eidetic Memory

The ability to recall images, sounds, or objects in memory with extreme accuracy and in seemingly unlimited volume.