Is there an equation/function that will give me a graph that looks like the following? f is a function of x and m, where m is a "cutoff" variable--values of x less than m follow a "sigmoid-like" curve, and values of x greater than or less than m follow a linear path. The curve as x nears m must also be smooth--no hard edges. Lastly, when x = 0, y = 0. When x = 1, y = 1.
Here is a picture of what I'm after:
