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Given the graph of f '(x), the derivative of f(x), which of the following statements are true about the graph of f(x)? Graph is parabola with x intercepts at x equals 0 and 3 and vertex at x = 1

I. The graph of f is decreasing on the interval (0, 2).
II. The graph of f is increasing on the interval (1, infinity).
III. The graph of f has point of inflection at x = 0.

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