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13 Nov 2019
C1/Test 4 Build A Page 4 of 5 (18pts) 3. For some function f(x), the graph of f'(z)ä¸the derivative of f(r)-and the graph of f"(x)-the second derivative of f(x)-are plotted below. Note that neither of these graphs is the graph of f(x) itself. f(a) fYa) Use the information contained in the graphs to answer the following. (a) (6 pts) Where are the critical points of f(r)? (Justify for your response, with refer- ence to the graphs.) (b) (6 pts) Use the second derivative test to identify each critical point of f(x) as a local max. or a local min. If the second derivative test is inconclusive, then say so (there is no need to identify the critical point as a local max. or a local min. in that case) (c) (6 pts) Does f(a) have a point of inflection at x = 0? Answer yes or no, and explain in terms of the graphs.
C1/Test 4 Build A Page 4 of 5 (18pts) 3. For some function f(x), the graph of f'(z)ä¸the derivative of f(r)-and the graph of f"(x)-the second derivative of f(x)-are plotted below. Note that neither of these graphs is the graph of f(x) itself. f(a) fYa) Use the information contained in the graphs to answer the following. (a) (6 pts) Where are the critical points of f(r)? (Justify for your response, with refer- ence to the graphs.) (b) (6 pts) Use the second derivative test to identify each critical point of f(x) as a local max. or a local min. If the second derivative test is inconclusive, then say so (there is no need to identify the critical point as a local max. or a local min. in that case) (c) (6 pts) Does f(a) have a point of inflection at x = 0? Answer yes or no, and explain in terms of the graphs.
Keith LeannonLv2
17 Mar 2019