Identify the Function's Local and Absolute Extreme Values, If Any

question 157

Multiple Choice

Identify the function's local and absolute extreme values, if any, saying where they occur.
-f(r) = (r - 7) 3

• A) no local extrema
• B) local minimum: x = 0
• C) local minimum: x = 7
• D) local minimum: x = 0; local maximum: x = 7

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Definitions:

Electroencephalograph (EEG)

A device used to record the electrical activity of the brain, often used in the diagnosis of neurological conditions.

Epileptic Seizure

A burst of uncontrolled electrical activity between brain cells (neurons) that causes temporary abnormalities in muscle tone or movements (stiffness, twitching, or limpness), behaviors, sensations, or states of awareness.

Electrical Activity

The movements or flow of electrical charges (ions) within or between cells, tissues, or organs, which are fundamental for various physiological processes including nerve impulse transmission and muscle contraction.

Hypothalamus

A region of the brain that controls an enormous number of bodily functions, including temperature regulation, thirst, hunger, sleep, and emotional activity.