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Let h be a continuous function over the interval [-10, 6] with derivative given by h ' consisting of two line segments and two
Let h be a continuous function over the interval [-10, 6] with derivative given by h ' consisting of two line segments and two semicircles, as shown in the graph. Part A: For what intervals does the graph of h have a positive slope? Negative slope? Justify your answer. Part B: For what value(s) of x does h have relative extrema? Justify your answer. Part C: For what intervals is the graph of h concave up? Concave down? Justify your answer. Part D: For what value(s) of x does h have a point of inflection? Justify your answer.
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