Find the Open Intervals on Which the Function Is Increasing

question 13

Multiple Choice

Find the open intervals on which the function is increasing and decreasing. Identify the function's local and absolute extreme values, if any, saying where they occur.
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• A) increasing on (-2, 0) and (2, 4); decreasing on (0, 2); absolute maximum at (4, 6); absolute minimum at (-2, 0) and (2, 0)
• B) increasing on (2, 4); decreasing on (0, 2); absolute maximum at (4, 6); local maximum at (0, 2); absolute minimum at (-2, 0) and (2, 0)
• C) increasing on (-2, 0) and (2, 4); decreasing on (0, 2); absolute maximum at (4, 6); local maximum at (0, 2); absolute minimum at (-2, 0) and (2, 0)
• D) increasing on (-2, 0) and (2, 4); decreasing on (0, 2); absolute maximum at (4, 6) and(0,2); absolute minimum at (-2, 0) and (2, 0)

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Definitions:

Reactivity

The degree to which the process of measurement itself affects the measurement and the subject's behavior.

Social Desirability

The tendency of respondents to answer questions in a manner that will be viewed favorably by others, which can bias survey and research results.

Selection Bias

A distortion in statistical analysis resulting from the method of collecting samples, where the sample obtained is not representative of the population intended to be analyzed.

Responsiveness

The quality of reacting quickly and positively; being responsive to feedback or changes.