Question
Let be the graphs of the functions respectively, where be the graph of a function y=f(x), where For a point P on let the lines through P, parallel to the axes, meet at Q and R, respectively (see figure). If for every position of the areas of the shaded regions OPQ and ORP are equal, determine the function f(x).
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Question Text | Let be the graphs of the functions respectively, where be the graph of a function y=f(x), where For a point P on let the lines through P, parallel to the axes, meet at Q and R, respectively (see figure). If for every position of the areas of the shaded regions OPQ and ORP are equal, determine the function f(x). |