Use the Intermediate Value Theorem to Determine Whether the Polynomial

question 50

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.
-f(x) = 8x⁵ - 7x³ - 10x² + 4; [-1, 0]

• A) f(-1) = -7 and f(0) = -4; no
• B) f(-1) = -7 and f(0) = 4; yes
• C) f(-1) = 7 and f(0) = 4; no
• D) f(-1) = 7 and f(0) = -4; yes

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Definitions:

Aldosterone

A hormone produced by the adrenal glands that helps regulate blood pressure by managing the balance of sodium and potassium in the body.

Cortisol

A steroid hormone produced by the adrenal glands that plays a vital role in the body's response to stress as well as metabolism and immune function.

ADH

Antidiuretic Hormone, a hormone that assists in maintaining water equilibrium in the body by boosting the kidneys' ability to reabsorb water.

Zona Glomerulosa Cells

Specialized cells in the adrenal cortex involved in the synthesis of mineralocorticoids, like aldosterone.