Use a Graphing Utility to Graph the Function Over the Indicated

question 126

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) local maximum at \(( - 1,5 )\)
• local minimum at \(( 1,1 )\)
• increasing on \(( - 1,1 )\)
• decreasing on \(( - 2 , - 1 )\) and \(( 1,2 )\)

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Definitions:

Expected Revenue

The anticipated amount of money a business will receive from its operations, calculated by multiplying potential sales quantity by the selling price.

Expected Revenue

The anticipated income from the sale of goods or services, calculated by multiplying the expected sales volume by the unit price.

Standard Deviation

Standard deviation is a statistical measure that quantifies the variability or dispersion of a set of data points or distribution from its mean.

Average Deviation

A statistical measure that describes the average distance of each data point from the mean of the data set.