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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The rate at which employees leave a company and are replaced by new employees, often used as an indicator of job satisfaction and organizational health.

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A measure of the efficiency of a person, machine, factory, system, etc., in converting inputs into useful outputs.

Quality

The degree to which a product, service, or process meets specified standards, satisfies customer expectations, or exhibits excellence.