6. The graph of a function f consists of a semicircle and two line segments as shown on the right. Let g(x) = ], f(t) dt . (a) Find g (1), g(3), g(-1). (b) On what interval(s) of x is g decreasing? Justify your answer. (c) Find all values of x on the open interval (-3, 4 ) at which g has a relative minimum. Justify your answer. (d) Find the absolute maximum value of g on the interval [-3, 4] and the value of x at which it occurs. Justify your answer. (e) On what interval(s) of x is g concave up? Justify your answer. Graph of f (f) For what value(s) of x does the graph of g have an inflection point? Justify your answer. (g) Write an equation for the line tangent to the graph of gat x = -1