3 2 0 1 4 1 2 1 Graph of f The continuous function has domain 3 4 The graph of f consisting of two line segments and a semicircle is shown in the figure above The graph of f has a horizontal tangent at x 1 Let g be the function defined by g x f f t dt for 3 x 4 a Find the x coordinate of each critical point of g on the interval 3 x 4 Classify each critical point as the location of a relative minimum a relative maximum or neither for g Justify each of your answers b For 3 x 4 on what open intervals is g decreasing and concave up Give a reason for your answer c Find the value of g 2 g 2 g 2 or explain why it does not exist Show the computations that lead to your answer d The function is defined b z x g x Find z 2 Show the computations that lead to your answer