The graph of a function f consists of a quarter circle and hree line segments as shown. Let g be the function given by =(x) = [",f(1) dt. Find g(-4),g(-2),and g (7). Find g(4), gʻ(4), and g"(4). Find all values of x on the open interval (-4,7) at which g has a relative maximum. Justify your answers. Find the absolute minimum value of g on the closed interval [-4, 7] and the value of x at which it occurs. Justify your answer. Find the x-coordinate of each point of inflection of the graph of g on the open interval (-4,7). Justify Graph of f your answer.

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