The graph of function g on the interval 5 x 8 consists of three line segments, as shown in the figure Let m be the function defined by m(x) g(t) dt for 55x58 a) Find the absolute maximum value of m on the interval 5 x 8 Justify your answer b) On what open intervals contained in the interval 5 x 8 is the graph of m both increasing and concave down Give a reason for your answer c)Find lim Show the computations that lead to your answer d) Let k be the function defined by k(x) m(x) Find the value of K (1) or explain why it dos no exist Show the computations that lead to your answer ( 5, 2) (1,5) 1 O 1 (3,0) Graph of g (8, 2)

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Question: The graph of function g on the interval -5 x 8 consists of three line segments, as shown in the figure Let m be

the function defined by m(x) = g(t) dt for -55x58. a) Find

The graph of function g on the interval -5 x 8 consists of three line segments, as shown in the figure Let m be the function defined by m(x) = g(t) dt for -55x58. a) Find the absolute maximum value of m on the interval -5 x 8. Justify your answer. b) On what open intervals contained in the interval -5 < x

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