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, 4); decreasing on (0, 2); absolute maximum at (4, 5); local maximum at (0, 2); absolute minimum at (-2, 0) and (2, 0)
B) increasing on (-2, 0) and (2, 4); decreasing on (0, 2); absolute maximum at (4, 5) and(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, 5); 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, 5); absolute minimum at (-2, 0) and (2, 0)

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, 4); decreasing on (0, 2); absolute maximum at (4, 5); local maximum at (0, 2); absolute minimum at (-2, 0) and (2, 0) 
B) increasing on (-2, 0) and (2, 4); decreasing on (0, 2); absolute maximum at (4, 5) and(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, 5); 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, 5); absolute minimum at (-2, 0) and (2, 0)

Quizplus · Accepted Answer

The function has a local maximum at (0, 2) and an absolute maximum at (4, 5). The function is increasing on (-2, 0) and (2, 4) and decreasing on (0, 2). The function has absolute minimums at (-2, 0) and (2, 0).

Find the Open Intervals on Which the Function Is Increasing