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    Graduate Invertible function y=f(x), x=f^(-1)(y) with two linear segments and smooth transition

    Hi, I'm looking to find a function y=f(x), invertible to x=f(y) and written in terms of elementary functions and operations, that can represent a straight line Ax+B where x<<T and another straight line Cx+D where x>>T, where T is the x position where the two lines would cross. In the region...