Use a Graphing Utility to Graph the Function Over the Indicated

question 217

Multiple Choice

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local
minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two
decimal places.
- $f(x) =x^{3}-3 x+3,(-2,2)$

• A)
• local maximum at \( (1,1) \)
• local minimum at \( (-1,5) \)
• increasing on \( (-2,-1) \)
• decreasing on \( (-1,1) \)
• B) local maximum at \( (-1,5) \)
• local minimum at \( (1,1) \)
• increasing on \( (-2,-1) \) and \( (1,2) \)
• decreasing on \( (-1,1) \)
• C) local maximum at \( (1,1) \)
• local minimum at \( (-1,5) \)
• increasing on \( (-2,-1) \) and \( (1,2) \)
• decreasing on \( (-1,1) \)
• D)
• \(\begin{array}{l}
• \text { local maximum at }(-1,5) \\
• \text { local minimum at }(1,1) \\
• \text { increasing on }(-1,1) \\
• \text { decreasing on }(-2,-1) \text { and }(1,2)
• \end{array}\)

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Definitions:

Secured Party

A lender or investor who has a legal right or interest in collateral pledged by a borrower to secure repayment of a loan.

Revised Article 9

An update to the Uniform Commercial Code that deals with secured transactions, outlining the rules regarding the granting of a security interest in personal property.

UCC

An all-encompassing body of laws, known as the Uniform Commercial Code, administers the conduct of commercial transactions throughout the United States.

Secured Transactions

A financial arrangement where the borrower guarantees the repayment of a debt by giving the lender a security interest in certain assets as collateral.