Question: 6. Let f be a function whose domain is the closed interval [0, 5]. The graph of f is shown at the right. x2 Consider

6. Let f be a function whose domain is the closed interval [0, 5]. The graph of f is shown at the right. x2 Consider the function h defined by h(x) = [f(t) di . (a) Show that h is an even function. (b) Find the domain of h. (c) Find h'(2). -3 (d) Give all values of x for which h(x) is a maximum. Graph of f Show the analysis that leads to your conclusion. (e) Sketch a graph of y = h(x) over its domain

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