For the Function :(A) Find the Critical Numbers of F

question 46

Multiple Choice

For the function :(a) Find the critical numbers of f (if any) ;(b) Find the open intervals where the function is increasing or decreasing; and(c) Apply the First Derivative Test to identify all relative extrema.Use a graphing utility to confirm your results.

• A)(a) (b) decreasing: ; increasing: (c) relative min:
• B)(a) (b) increasing: ; decreasing: (c) relative max:
• C)(a) (b) decreasing: ; increasing: (c) relative min: ; relative max:
• D)(a) (b) decreasing: ; increasing: (c) relative min:
• E)(a) (b) increasing: ; decreasing: (c) relative max:

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Definitions:

Sample Variance

A measure of the dispersion or spread of a set of data points around their mean, calculated as the sum of the squared deviations from the mean, divided by the number of observations minus one.

Equal-variances Test

A statistical test used to determine if two or more samples have equal variances.

Unequal Variances Test

A statistical test used when comparing two groups that do not assume the variances of the groups are equal.

Normally Distributed

Describes data that follows a normal distribution characterized by a symmetric bell-shaped curve.