To describe this simple with a little pseudocode (i'm better with software than mathematical notation, sorry):
f(x) = if (x <= 50%) then 0 else 1
This with a graph:
100% | x x
50% |
0% | x x
|___________________
0% 33% 66% 100%
How would you describe this graph?
I'm trying to find the words to distinguish it from a flat linear graph:
100% |
50% | x x x x
0% |
|___________________
0% 33% 66% 100%
and a non-flat linear graph
100% | x
75% | x
50% | x
25% | x
0% | x
|________________________
0% 25% 50% 75% 100%
A piecewise constant function (a.k.a step function) is one possibility for any graph that is constant (flat) on different pieces.
You may also be interested in characteristic functions (a.k.a. indicator functions).