Question: (1 point) Let f(t)be the piecewise linear function with domain 0t8 shown in the graph below (whichis determined by connecting the dots). Define a function
(1 point) Let f(t)be the piecewise linear function with domain 0t8 shown in the graph below (whichis determined by connecting the dots). Define a function A(x) with domain 0x8byA(x)=0xf(t)dtNotice that A(x)is the net area under the function f(t) for 0tx.If you click on the graph below, a full-size picture of the graph will open in another window.(A) Find the following values of the function A(x).A(0)=A(1)=A(2)=A(3)=A(4)=A(5)=A(6)=A(7)=A(8)=(B) Use interval notation to indicate the interval or union of intervals where A(x)is increasing and decreasing.A(x)is increasing for xin the intervalA(x)is decreasing for xin the interval(C) Find where A(x) has its maximum and minimum values.A(x) has its maximum value when x=A(x) has its minimum value when x=
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