2) (1,-4) Graph of f' Let f b a twice-differentiable function defined on the interval -1.2...

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2) (1,-4) Graph of f' Let f b a twice-differentiable function defined on the interval -1.2 < x < 3.2 with f(1) = 2. The graph of f'(x), the derivative of f, is shown above. The graph of f' crosses the x-axis at x = -1 and x = 3 and has a horizontal tangent at x = 2 a) Find where f(x) is both decreasing and concave up. Justify your answer b) Find all values of x where f has a local maximum. Justify your answer. c) Find all values of x where f has an inflection point. Justify your answer. 3) Let f(x) = xe*. State the open intervals where f(x) is increasing, decreasing, concave up, and concave down. 2) (1,-4) Graph of f' Let f b a twice-differentiable function defined on the interval -1.2 < x < 3.2 with f(1) = 2. The graph of f'(x), the derivative of f, is shown above. The graph of f' crosses the x-axis at x = -1 and x = 3 and has a horizontal tangent at x = 2 a) Find where f(x) is both decreasing and concave up. Justify your answer b) Find all values of x where f has a local maximum. Justify your answer. c) Find all values of x where f has an inflection point. Justify your answer. 3) Let f(x) = xe*. State the open intervals where f(x) is increasing, decreasing, concave up, and concave down.