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