Let g(x) = ∫_0^x f(t) dt where f is the function whose graph is shown in the figure. (a) Estimate g(0), g(2), g(4), g(6), and g(8). (b) Find the largest open interval on which g is increasing. Find the largest open interval on which g is decreasing. (c) Identify any extrema of g. (d) Sketch a rough graph of g.

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