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:

Effective Tax Rate

The average rate at which an individual or a corporation is taxed, calculated by dividing the total amount of taxes paid by the taxable income.

Temporary Difference

A difference that arises between the tax base of an asset or liability and its carrying amount in the financial statements, which will result in taxable or deductible amounts in future years.

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A tax obligation that arises when taxable income is delayed or postponed to future periods, reflecting taxes that are expected to be paid in the future.

Accrual Method

An accounting method that records revenues and expenses when they are earned or incurred, regardless of when the cash is received or paid.