The function g is defined and differentiable on the closed interval [6, 6] and satisfies g (0) = 4. The graph of y=g'(x), the derivative of g, consists of a semicircle and three line segments, as shown in the figure below.
(5,3) (6,-1) (6,-2) (a) Find g(5) and g(-4). (b) Find the x-coordinate of each point of inflection of the graph y = g(x) on the interval - 6