The graph of the continuous function f, consisting of three line segments and a semicircle, is...

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The graph of the continuous function f, consisting of three line segments and a semicircle, is shown to the right. Let g be the function given by g(x) = f(t)dt. a) Find g(-6) and g(3). b) Find g'(0). 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. (-4,5), -6 -4 -2 2 Graph of f (3.-2) The graph of the continuous function f, consisting of three line segments and a semicircle, is shown to the right. Let g be the function given by g(x) = f(t)dt. a) Find g(-6) and g(3). b) Find g'(0). 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. (-4,5), -6 -4 -2 2 Graph of f (3.-2)

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