The Function $f(x)=2 x^{2}-x+6$ Satisfies the Hypotheses of the Mean Value Theorem on the Value

question 88

Multiple Choice

The function $f(x) =2 x^{2}-x+6$ satisfies the hypotheses of the Mean Value Theorem on the interval $[-9,-5]$ . Find all values of c that satisfy the conclusion of the theorem.

• A) -8, -6
• B) -8, -7
• C) -7
• D) -6

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Definitions:

Graves' Disease

An autoimmune disorder that results in the overproduction of thyroid hormones, causing hyperthyroidism.

Antibodies

Proteins produced by the immune system to neutralize or destroy foreign substances like bacteria and viruses.

Thyroid Gland

An endocrine gland located in the neck, which produces hormones that regulate the body's metabolism, energy levels, and growth.

Thyroid Hormones

Chemical substances produced by the thyroid gland, crucial for regulating metabolism, energy generation, and overall body growth.