Determine Whether Rolle's Theorem Can Be Applied to the Function

question 11

Multiple Choice

Determine whether Rolle's Theorem can be applied to the function on the closed interval If Rolle's Theorem can be applied, find all numbers c in the open interval such that

• A) Rolle's Theorem applies;
• B) Rolle's Theorem applies;
• C) Rolle's Theorem does apply;
• D) Rolle's Theorem applies;
• E) Rolle's Theorem does not apply

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Definitions:

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how much the values differ from the mean.

Average Donation

The mean amount given by donors, calculated by dividing the total amount of donations by the number of donors.

Dispersed Distribution

Refers to how spread out or scattered the data points are within a distribution.

Weighted Mean

An average in which each quantity to be averaged is assigned a weight, reflecting its importance or frequency.