From the 2013 IPE AB5 a Find g 6 and g 3 6 4 5 4 M 6 Graph of f 12 The graph of the continuous function f consisting of three line segments and a semicircle is shown above Let g be the function given by g x L f t dt b Find g 0 4 3 2 c Find all values of x on the open interval 6 x 3 for which the graph of g has a horizontal tangent Determine whether g has a local maximum a local minimum or neither at each of these values Justify your answers d Find all values of x on the open interval 6 x 3 for which the graph of g has a point of inflection Explain your reasoning