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- Curve Sketching Course Packet on inflection points The following graph corresponds to f"(x), the second derivative of f(x). If the graph does not appear, please reload the page. 10 000 5000 -5000 Based on the above graph of the second derivative of f(x), determine the number inflection points of f(x). You may assume that f"(x) is continuous, f"(x) is defined for all x, and f"(x) = 0 only when x = -8, x = 0, and x = 5. Enter the number of inflection points of f(x) ; Determine the x-coordinates of the inflection points. Enter your answer as a comma-separated list of values. The order of the values does not matter. Enter DNE if ((x) does not have any inflection points