Find the Critical Number(s), If Any, of the Function $f ( x ) = x ^ { 3 } - 21 x + 4$

question 58

Multiple Choice

Find the critical number(s) , if any, of the function $f ( x ) = x ^ { 3 } - 21 x + 4$ .

• A) 4
• B) \(- 4\)
• C) \(\pm \sqrt { 7 }\)
• D) \(\pm 7\)

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Definitions:

Somatostatin

A hormone that inhibits the secretion of several other hormones, including growth hormone and insulin.

Hypothalamus

A region of the brain that coordinates both the autonomic nervous system and the activity of the pituitary, controlling body temperature, thirst, hunger, and other homeostatic systems.

Anterior Pituitary

A glandular portion of the pituitary gland that produces and secretes hormones regulating various bodily functions.

Follicular Cells

Epithelial cells in the thyroid gland that produce and secrete thyroid hormones Thyroxine (T4) and Triiodothyronine (T3).