Your solutions should be fully justified. Solutions will be graded for correctness and quality of explanations....

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Your solutions should be fully justified. Solutions will be graded for correctness and quality of explanations. 1. The graph of y = f"(x), the second derivative of the function f, with domain (-, ) is given below. Assume that the curve outside of this view is as indicated by the arrows. You may assume that f is continuous on (-, 0). 6 4 2 Y "(x) W -4 2 4 -6 2 I 8 Use this graph of y = f"(x) to answer the following. Provide a short justification. (a) Find the x-coordinate(s) of any inflection points of f. (b) On what open interval(s) is f concave upward? (c) On what open interval(s) is f' decreasing? (d) Suppose that f'(1.5) = 0. Is f(1.5) a local maximum or local minimum? Your solutions should be fully justified. Solutions will be graded for correctness and quality of explanations. 1. The graph of y = f"(x), the second derivative of the function f, with domain (-, ) is given below. Assume that the curve outside of this view is as indicated by the arrows. You may assume that f is continuous on (-, 0). 6 4 2 Y "(x) W -4 2 4 -6 2 I 8 Use this graph of y = f"(x) to answer the following. Provide a short justification. (a) Find the x-coordinate(s) of any inflection points of f. (b) On what open interval(s) is f concave upward? (c) On what open interval(s) is f' decreasing? (d) Suppose that f'(1.5) = 0. Is f(1.5) a local maximum or local minimum?