Find the Value of C Guaranteed by the Intermediate Value $$f ( x ) = x ^ { 2 } - 2 x + 8 , [ 2,6 ] , f ( c ) = 11$$

question 71

Multiple Choice

Find the value of c guaranteed by the Intermediate Value Theorem. $$f ( x ) = x ^ { 2 } - 2 x + 8 , [ 2,6 ] , f ( c ) = 11$$

• A) 0
• B) 3
• C) 5
• D) 1
• E) 4

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Definitions:

Absolute Obligation

A duty or responsibility that is not subject to any conditions and must be fulfilled under all circumstances.

Equitable Remedies

Court-enforced actions directed at a party in a civil lawsuit, aimed at correcting a legal wrong or injustices, such as orders for specific performance, injunctions, and rescissions.

Anticipatory Breach

A declaration or act by one party to a contract that they do not intend to fulfill their future obligations, allowing the other party to take legal action before the breach occurs.

Implied Condition

An implied condition refers to a term not explicitly stated in a contract but considered to be included and necessary for the fulfillment of the contract's purpose.