You are given the four points in the plane \(A = (-4,3)\), \(B = (0,-1)\), \(C = (2,6)\), and \(D = (4,-6)\).

You are given the four points in the plane (A = (-4,3)), (B = (0,-1)), (C = (2,6)), and (D = (4,-6)). The graph of the function (f(x)) consists of the three line segments (AB), (BC) and (CD). Find the integral (displaystyle int_{4}^{ -4} f(x),dx) by using a rule for integrals and interpreting the integral in terms of sums and/or differences of areas of elementary figures.