Identify the Function's Local and Absolute Extreme Values, If Any $$f ( x ) = x ^ { 3 } + 12 x ^ { 2 } + 48 x + 4$$

question 247

Multiple Choice

Identify the function's local and absolute extreme values, if any, saying where they occur.
- $$f ( x ) = x ^ { 3 } + 12 x ^ { 2 } + 48 x + 4$$

• A) local maximum at x = -4
• B) no local extrema
• C) local maximum at x = -4; local minimum at x = 4
• D) local minimum at x = -4

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Definitions:

Long-Term Memory

The aspect of memory capable of storing information for prolonged periods, ranging from a few minutes to a lifetime.

Retroactive Inhibition

The phenomenon where newer memories interfere with the recall of older memories.

Interference

A cognitive theory that proposes that people forget information because other information learned either before or after interferes with its retrieval.

Retroactive Interference

The phenomenon where newly acquired information interferes with the recall of previously learned information.