math expression for a bounded function

Question

I have a bounded function.

When x > 1, y = 1;

when 0 <= x <= 1, y = x;

when x < 0, y = 0.

Does anyone know any simple math function to represent y (Do not use piece-wise function).

For example, Heaviside function is a similar approach.

Thanks

This seems to be off-topic, as it is about mathematics rather than programming. math.stackexchange.com would be more appropriate for this question. — , Jan 18 '14 at 21:24
That said, if you want to know how to accomplish this in any programming language, we can easily demonstrate that. ;) — Josiah, Jan 18 '14 at 21:29
Is a two-argument `min()` and `max()` function acceptable? `y = max(0, min(x, 1))`... — , Jan 18 '14 at 21:31

score 1 · Answer 1 · answered Jan 18 '14 at 21:51

1

Just for fun - pure math function:

formula

answered Jan 18 '14 at 21:51

Egor Skriptunoff

1 Answers1