Suppose that the function with the given graph is not f(x), but f'(x). Find the open intervals where the function is concave upward or concave downward, and find the location of any inflection points.

A. Concave upward on (-?, 0); concave downward on (0, ?); inflection point at 0
B. Concave upward on (-?, -2) and (2, ?); concave downward on (-2, 2); inflection points at -120 and 120
C. Concave upward on (-?, -2) and (2, ?); concave downward on (-2, 2); inflection points at -2 and 2
D. Concave upward on (-2, 2); concave downward on (-?, -2) and (2, ?); inflection points at -2 and 2


Answer: C

Mathematics

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