The graph of function g on the interval -5 x 8 consists of three line segments,...

 

   

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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) 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)