Find the Coordinates of All Relative and Absolute Extrema $$g ( x ) = \frac { x ^ { 3 } } { x ^ { 2 } - 48 }$$

question 7

Multiple Choice

Find the coordinates of all relative and absolute extrema. $$g ( x ) = \frac { x ^ { 3 } } { x ^ { 2 } - 48 }$$

• A)(-16, 16), (0, 0)
• B) (-12, -18), (12, 18), (0, 0)
• C) (0, 0), (12, 18)
• D) (-12, -18), (12, 18)
• E) (0, 0)

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Definitions:

Nervous Disorders

A broad range of conditions that affect the nervous system, causing symptoms like pain, cognitive dysfunctions, and motor disturbances.

Unconscious Mind

Refers to the mental processes of which individuals make themselves unaware.

Structuralism

A method of interpretation and analysis of aspects of human cognition, behavior, culture, and experience, focusing on relationships of contrast between elements in a conceptual system.

Natural Selection

A process by which organisms better adapted to their environment tend to survive and produce more offspring, a concept fundamental to Charles Darwin's theory of evolution.