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1. (05.05 HC) Let h be a continuous function over the interval [-1 U, 6] with derivative given by h ' consisting of two line

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1. (05.05 HC) Let h be a continuous function over the interval [-1 U, 6] with derivative given by h ' consisting of two line segments and two semicircles, as shown in the graph. -10 -8 -6 -4 -2 0 2 4 6 Part A: For what intervals is the graph of h increasing? Decreasing? Justify your answer. (10 points) Part B: For what value(s) ofx does it have relative extrema? Justify your answer. (5 points) Part C: For what intervals is the graph of h concave up? Concave down? Justify your answer. (10 points) Part D: For what value(s) of x does h have a point of inection? Justify your answer. (5 points)

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