Find the Exact Location of All the Relative and Absolute $f ( x ) = \frac { 8 } { x } - \frac { 4 } { x ^ { 2 } }$

question 69

Multiple Choice

Find the exact location of all the relative and absolute maxima of the function. $f ( x ) = \frac { 8 } { x } - \frac { 4 } { x ^ { 2 } }$
Select all correct answers.

• A) \(( 1 , - 4 )\) - absolute maximum
• B) \(( 4 , - 8 )\) - absolute minimum
• C) \(( - 1,8 )\) - relative maximum
• D) \(( 1,4 )\) - absolute minimum
• E) \(( 1,4 )\) - absolute maximum

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Definitions:

Course of Performance

Refers to the conduct between contracting parties that is consistently undertaken in the course of their business relationship, serving as an interpretative tool for their agreement.

Course of Dealing

The history of conduct between parties in a transaction, which can help interpret their agreement and obligations.

Perfect Tender Rule

a legal principle under the UCC that requires sellers to deliver goods that exactly meet the terms of the contract with the buyer.

Substantial Performance

A legal principle allowing a party to enforce a contract if they have fulfilled enough of its terms to warrant payment, even if there are minor breaches.