Let f(t) be the piecewise linear function with domain 0 t 8 shown in the graph below (which is determined by connecting the dots). Define a function A(x) with domain 0 x 8 by A(x)= f(t) dt. Notice that A(x) is the net area under the function f(t) for 0 t 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) = 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 A(x) is increasing and decreasing. A(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 = A(x) has its minimum value when x =
Show transcribed image textLet f(t) be the piecewise linear function with domain 0 t 8 shown in the graph below (which is determined by connecting the dots). Define a function A(x) with domain 0 x 8 by A(x)= f(t) dt. Notice that A(x) is the net area under the function f(t) for 0 t 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) = 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 A(x) is increasing and decreasing. A(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 = A(x) has its minimum value when x =