Use a Graphing Utility to Graph the Function Over the Indicated

question 259

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.
- $$f ( x ) = x ^ { 3 } - 12 x + 2 ; ( - 5,5 )$$

• A) local maximum at \(( - 2,18 )\)
• local minimum at \(( 0,0 )\)
• local minimum at \(( 2 , - 14 )\)
• B) local minimum at \(( 0,0 )\)
• C) local maximum at \(( - 2,18 )\)
• local minimum at \(( 2 , - 14 )\)
• D) none

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Definitions:

Randomized Block Design

A type of experimental design that aims to reduce the effects of confounding variables by grouping subjects into blocks before randomly assigning treatments within these blocks.

Two-Way Analysis

A type of analysis used to understand the effect of two independent variables on a dependent variable, often used in the context of statistical tests such as two-way ANOVA.

Two-Way Classification Design

A research design that involves two factors (independent variables), with each factor usually having multiple levels, for the purpose of analyzing how they interact with each other in influencing a response variable.

Non-Directional Dependent Samples Z-Test

A statistical test used when comparing the means of two related samples to determine if there is a significant difference without predicting the direction of the difference.