Find the Critical Point(s) of the Function

question 151

Multiple Choice

Find the critical point(s) of the function.Then use the second derivative test to classify the nature of each point, if possible.Finally, determine the relative extrema of the function.

• A)(0, 0); saddle point: f(0, 0) = - 5
• B)(1, 0); relative maximum value: f(1, 0) = 5
• C)(0, - 1); relative minimum value: f(0, - 1) = - 6
• D)there are no critical points

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Definitions:

Holding Constant

Holding constant is a method used in analysis where certain variables are kept unchanged in order to isolate the effects of other variables.

Independent Variables

Variables in a statistical model that are presumed to influence or cause changes in another variable, without being affected by it.

Increase

Increase refers to the action of becoming larger or greater in size, number, value, or amount.

Standard Error

A statistical measure that describes the accuracy with which a sample distribution represents a population, specifically the standard deviation of the sampling distribution of a statistic.