Let g be a continuous function with g(2) = 5. The graph of the piecewise-linear function g', the derivative of g, is (1. 1) (7, 1) shown above for -3 s x S 7. (-1.0) (a) Find the r-coordinate of all points of inflection of the graph of y = g(x) for -3 < x < 7. Justify your answer. (4.-2) (b) Find the absolute maximum value of g on the interval -3 s r s 7. Justify your answer. (c) Find the average rate of change of g(x) on the interval -3 < x S7. Giraph of g'

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