Provide an Appropriate Response

question 86

Multiple Choice

Provide an appropriate response.
-Use the first derivative test to determine the local extrema, if any, for the function:

• A) local min at x = 0 and local max at x = -1 and x = 1
• B) local max at x = 0 and local min at x = -1 and x = 1
• C) local max at x = 1 and local min at x = 0
• D) local max at x = -1 and local min at x = 0 and x = 1

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Definitions:

Thalamus

A structure within the brain that acts as a relay station for sensory and motor signals to the cerebral cortex.

Vasoconstriction

The narrowing of blood vessels caused by contraction of the muscular wall of the vessels, which increases blood pressure.

Medulla Oblongata

The lower portion of the brainstem, which controls vital bodily functions such as respiration, heart rate, and blood pressure.

Hypothalamus

This part of the brain, positioned below the thalamus, plays a pivotal role in controlling the autonomic nervous system and pituitary gland activity, thereby regulating essential homeostatic functions including body temperature, thirst, hunger, and other equilibrium-maintaining systems.