Let f(t) be the piecewise linear function with domain 0 le t le 8 shown in the g

Question

Let f(t) be the piecewise linear function with domain 0 le t le 8 shown in the graph below (which is determined by connecting the dots). Define a function A(x) with domain 0 le x le 8 by A(x) = x integration 0 f(t)dt. Notice that A(x) is the net area under the function f (t) for 0 le t le x If you click on the graph below, a full-size picture of the graph will open in another window. Find the following values of the function A(x).A(0) = o A(1)= A(2) = A(3) = A(4) = A(5)= A(6) =A(7) =A(8) = Use interval notation to indicate the interval or union of intervals where -4(x) is increasing and decreasing. .4(x) is increasing for X in the interval A(x) is decreasing for X in the interval Find where A(x) has its maximum and minimum values. A(x) has its maximum value when X = 0 .A(x) has its minimum value when X =

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Let f(t) be the piecewise linear function with domain 0 le t le 8 shown in the g

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