A real function f is said to be a step function if it is constant on given intervals.
The graph of a step function is formed by a certain number of plateaus that can look like this graph:
The floor function is a step function, but not all step functions are floor functions.
A step function is a synonym for piecewise constant function.
- A floor function is a step function:
- A least integer function is a step function:
- Here is the graph of an exponential variation function that also represents a step function: