Find the Open Intervals on Which the Function Is Increasing

question 96

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 (-3, 0); decreasing on (-5, -3) and (2, 5) absolute maximum at (-5, 0); local minimum at (-3, -3) and (5, -3)
• B) increasing on (-3, 0); decreasing on (-5, -3) and (2, 5) absolute maximum at (-5, 0); local maximum at (0, 0) and (2, 0); Absolute minimum at (5, -3)
• C) increasing on (-3, 1); decreasing on (-5, -3) and (0, 5) absolute maximum at (-5, 0); no absolute minimum
• D) increasing on (-3, 0); decreasing on [-5, -3) and (2, 5] absolute maximum at (-5, 0); absolute minimum at (5, -3)

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Definitions:

Personality and Flow

The interaction between an individual's unique personality traits and their experience of flow, a state of complete immersion and focus in an activity.

Neuroticism

A personality trait characterized by emotional instability, anxiety, moodiness, worry, and fear.

Conscientiousness

A personality trait characterized by organization, dependability, discipline, and a strong sense of duty.

Positive Personality Traits

Positive personality traits are enduring characteristics of individuals that are considered beneficial, desirable, or advantageous within a social or personal context.