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A twice-differentiable function fis defined for all real numbers x. The derivative of the function fand its second derivative have the properties and various
A twice-differentiable function fis defined for all real numbers x. The derivative of the function fand its second derivative have the properties and various values of x, as indicated in the table. f'(x) positive DNE positive f "(x) positive DNE negative 6 O O negative negative Part A: Find all values of xat which fhas a relative extrema on the interval [O, 9]. Determine whether fhas a relative maximum or a relative minimum at each of these values. Justify your answer. (10 points) Part B: Determine where the graph of fis concave up and where it is concave down. Support your answer. (1 0 points) Part C: Find any points of inflection of f Show the analysis that leads to your answer. (1 0 points)
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