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:

Behavioural Responses

Reactions exhibited by individuals in response to external or internal stimuli.

Stress

A physical or psychological response to internal or external pressures, challenges, or threats, often characterized by feelings of tension, anxiousness, or overwhelm.

Pressure

A psychological state characterized by the perception of demands or stressors that are viewed as taxing or exceeding one's resources or abilities.

Expectation

A belief about what will happen in the future, often based on experience or hypothetical scenarios.