What is this function called? Here is a graph:
_______ / / _______/
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$f(x, a, b) = 0$, if $x < a; \quad \quad \displaystyle \frac {(x - a)} {(b - a)}$ if $a < x < b; \quad \quad$ and $1$ if $ x > b$.
Closest name is Sigmoid function, but they all are smooth. Also I remember I saw similar formula for saturation, but not sure about that, googling didn't help.
Edit: Ramp function is closer:
But it is general one, while my is more specific one, used for normalization.