Find the Open Intervals on Which the Function Is Increasing

question 194

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, 3); decreasing on (0, 6); absolute maximum at (3, 3); absolute minimum at (-3, -3)
• B) increasing on (-3, 3); decreasing on (-6, -3) and (3, 6); absolute maximum at (3, 3); absolute minimum at (-3, -3)
• C) increasing on (-3, 3); decreasing on (-6, 0); absolute maximum at (3, 3); absolute minimum at (-3, -3)
• D) increasing on (-3, 3); decreasing on (-6, -3) and (3, 6); no absolute maximum; no absolute minimum

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Definitions:

End Stage

The final phase of a situation, condition, or process where things are concluding or coming to a completion.

Planning Stage

The phase of a project or activity where objectives are defined, strategies are developed, and tasks are planned.

Group Equilibrium

The state of balance or stability within a group, where the dynamics work effectively without major conflicts.

Social Integration

The process of incorporating individuals into societal structures, ensuring they participate in social, economic, and cultural life.