Generating points for Sigmoid Function/Graph knowing only endpoints

Question

If I have 2 end points how can I generate values for the Sigmoid function?

Answer 1

There is no the Sigmoid function. Sigmoid describes a class of functions, including the logistic function, the arctangent function, the error function, and others.

Even if you pick a particular sigmoid function, for instance, the logistic, merely picking two points on the curve is not specific enough -- the curve can always be scaled and translated infinitely many different ways to pass through the same two points. For example, here are a few logistic curves (scaled and translated) to pass through the points $(-1,0)$ and $(1,1)$.