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Problem 5: (15 points) Consider the function f(x) = x3 - x2 x + 1. For each part, box your final answer. 3) Identity the intervals on which the function is increasing and decreasing. b) Identify the intervals on which the function is concave up and concave down. c) Identify the x- and y- coordinates of any relative extrema and inflection points. Indicate if an extremum is a maximum or minimum