Find the Critical Point(s) of the Function

question 151

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) (-8, 0.125) is the critical point, the function has neither a relative maximum nor a relative minimum
• B) (8, - 0.125) is the critical point, the function has neither a relative maximum nor a relative minimum
• C) (8, 0.125), (8, - 0.125) are the critical points, the function has neither a relative maximum nor a relative minimum
• D) (8, 0.125), (- 8, 0.125) are the critical points, the function has neither a relative maximum nor a relative minimum
• E) no critical points

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Definitions:

Bulimia Nervosa

An eating disorder characterized by binge eating followed by purging, to prevent weight gain.

Leptin Reduction

A decrease in the levels of leptin, a hormone produced by fat cells that is involved in regulating appetite and metabolism, often resulting in increased hunger and food intake.

Hormone Under Secretion

A condition characterized by the inadequate production or release of hormones by the endocrine glands.

Anorexia Nervosa

An eating disorder characterized by an obsessive fear of gaining weight and severely restricting food intake, leading to weight loss and potential health risks.