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, 2); decreasing on (-6, -2) and (2, 6); no absolute maximum; no absolute minimum
B) increasing on (-2, 2); decreasing on (0, 6); absolute maximum at (2, 1); absolute minimum at (-2, -1)
C) increasing on (-2, 2); decreasing on (-6, -2) and (2, 6); absolute maximum at (2, 1); absolute minimum at (-2, -1)
D) increasing on (-2, 2); decreasing on (-6, 0); absolute maximum at (2, 1); absolute minimum at (-2, -1)

Question

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, 2); decreasing on (-6, -2) and (2, 6); no absolute maximum; no absolute minimum 
B) increasing on (-2, 2); decreasing on (0, 6); absolute maximum at (2, 1); absolute minimum at (-2, -1) 
C) increasing on (-2, 2); decreasing on (-6, -2) and (2, 6); absolute maximum at (2, 1); absolute minimum at (-2, -1) 
D) increasing on (-2, 2); decreasing on (-6, 0); absolute maximum at (2, 1); absolute minimum at (-2, -1)

Quizplus · Accepted Answer

The function is increasing on the interval (-2, 2) and decreasing on the intervals (-6, -2) and (2, 6). 
The absolute maximum occurs at (2, 1) and the absolute minimum occurs at (-2, -1).

Find the Open Intervals on Which the Function Is Increasing