05.12 Analytical Applications of Differentiation Exam Part Two

Let h be a continuous function over the interval [-5, 10] with derivative given by h ' consisting of two line segments and two semicircles, as shown in the graph. 4 2 -1 -2 -3 46 -4 -2 2 4 6 8 10 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)