2. The graph of a function f consists of a semicircle and two line segments as shown. Let g be the function given by g(x) =I:f(r)dr. (a) Find g(0).g(3).g(2).andg(5). (b) Find all values of x on the open interval (2,5) at which g has a relative maximum. Justify your answers. (c) Find the absolute minimum value of g on the closed interval [2, 5] and the value of x at which it occurs. Justify your answer. Graph of f (d) Write an equation for the line tangent to the graph of g at x = 3. (c) Find the x-coordinate of each point of inection of the graph of g on the open interval (2, 5). Justify your answer. (f) Find the range of g