(Solution) - The graph of the derivative f of a continuous function -(2025 Original AI-Free Solution)

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The graph of the derivative f' of a continuous function f is shown.
(a) On what intervals is f increasing? Decreasing?
(b) At what values of x does f have a local maximum? Local minimum?
(c) On what intervals is f concave upward? Concave downward?
(d) State the x-coordinate(s) of the point(s) of inflection.
(e) Assuming that f(0) = 0, sketch a graph of f.