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W Q 1. (05.05 HC) Let h be a continuous function over the interval [-8, 8] with derivative given by h ' consisting of two
W Q 1. (05.05 HC) Let h be a continuous function over the interval [-8, 8] with derivative given by h ' consisting of two line segments and two semicircles, as shown in the graph. A 2 X 04 -1 -2 -3 - 4 6 58 -6 -4 -2 Part A: For what intervals is the graph of h increasing? Decreasing? Justify your answer. (10 points) Part B: For what value(s) of x does h 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 inflection? Justify your answer. (5 points)W 2. (05.07 HC) A twice-differentiable function f is defined for all real numbers x. The derivative of the function f and its second derivative have the properties and various values of x, as indicated in the table. X 0
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