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## Homework Statement

A curve with Cartesian equation y=f(x) passes through the origin. Lines drawn parallel to the coordiante axes through and arbitrary poing of the curve form a rectangle with two sides on the axes. The curve divides every such rectangle into two regions A and B, one of which has and area equal to n times the other. Find all such functions f.

## Homework Equations

## The Attempt at a Solution

Obviously f(x)=cx where c is a real number works, but there must be others. Any ideas?