Use the Maximum/minimum Finder on a Graphing Calculator to Determine $$f ( x ) = 0.1 x ^ { 4 } - x ^ { 3 } - 15 x ^ { 2 } + 59 x + 7$$

question 327

Multiple Choice

Use the maximum/minimum finder on a graphing calculator to determine the approximate location of all local extrema.
- $$f ( x ) = 0.1 x ^ { 4 } - x ^ { 3 } - 15 x ^ { 2 } + 59 x + 7$$

• A) Approximate local maximum at 1.696; approximate local minima at -6.802 and 12.582
• B) Approximate local maximum at 1.673; approximate local minima at -6.875 and 12.57
• C) Approximate local maximum at 1.728; approximate local minima at -6.788 and 12.601
• D) Approximate local maximum at 1.735; approximate local minima at -6.777 and 12.542

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Definitions:

Time Plots

Charts that display values against time, allowing for the observation of trends, patterns, and seasonal variations in data series.

Explanatory Variable

In statistical modeling, an explanatory variable is one that is manipulated or categorized to assess its effect on a response variable.

Scatterplot

A type of graph used in statistics to display values for two variables for a set of data.

Density Curve

A smooth curve used in statistics to describe the distribution of a continuous probability variable; its area under the curve sums to 1.