Figure 4 shows the graphs of y = f(x), y = g(x) and y = h(x). f (x) = 2 g (x) =x +1 if x <1 |2x| -x +4 ifx > 1 h (x) = Figure 4 a) Let A(r) be the area enclosed by the x-axis, the y-axis, the graph of the function f and the line x =r. Is A(r) continuous at every point in the domain of f? Why or why not?

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