Question: 2. The graph of a function f is shown below. Let g be the function defined as g(x) = f(t)dt 0 (a) Find g(0), g(3),

2. The graph of a function f is shown below. Let g be the function defined as g(x) = f(t)dt 0 (a) Find g(0), g(3), g(6) (b) On what interval is g decreasing? Increasing? (c) Where does g have a minimum value? (d) Does g have a local maximum? If so, at what x value? (e) On what interval(s) is g concave up? Concave down? (f) Find g'(0), g'(3), g'(6) (g) Find g"(3), g"(4) (h) Sketch a graph of g

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