Subject: Graphing regions Name: Esther
Who is asking: Parent Question: This is the second of two questions my son had problems with. Find the area of the region enclosed by the graphs of y = x^{3}6x and y = 2x between their points of intersection. Hi Esther,Let f(x) = x^{3}6x and g(x) = 2x. First you need to find where the curves intersect. Solving f(x) = g(x) gives x(x^{2}  4) = 0 x = 2, 0 or 2 Now between x = 2 and x = 0 and between x = 0 and x = 2 you need to determine "which curve is on top and which is on the bottom", that is which function f or g is larger. Choose a point between x = 2 and x = 0, say x = 1. g(1) = 2(1) = 2 Choose a point between x = 0 and x = 2, say x = 1. g(1) = 2(1) = 2 Harley
