Find the Critical Point(s) of the Function

question 197

Multiple Choice

Find the critical point(s) of the function. Then use the second derivative test to classify the nature of each point, if possible. Finally, determine the relative extrema of the function.

• A) (0, - 1); relative minimum value: f(0, - 1) = - 4
• B) (0, 0); saddle point: f(0, 0) = 4
• C) (1, 0); relative maximum value: f(1, 0) = 1
• D) there are no critical points

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Definitions:

Visually Stimulated

Being aroused or excited by visual elements, which can range from aesthetic appreciation to sexual arousal.

Cerebral Cortex

The outer layer of the brain's cerebrum, involved in complex brain functions such as thought, memory, language, and consciousness.

Environmentally Impoverished

Conditions where an area or habitat lacks sufficient resources or stimulation, potentially hindering development or quality of life.

Enriched Environments

Enriched Environments are settings or conditions that provide enhanced stimuli and opportunities for physical and cognitive activities, promoting better development and health.