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A function of real numbers is also called a step function if it is piecewise constant function involving a finite number of inputs. There are two types of step functions. Greatest Integer function (floor function) - A function f(x) is said to be a floor function which possesses biggest integer that is less than or equal to the input value x Smallest Integer function (ceiling function) - A function f(x) is said to be a ceiling function which is composed of the lowest integer that is either bigger or equal to the input value x A step function is also known as staircase function, since it looks like a staircase.
There is no largest number. One simple way to consider this is to  look at the function:    f(x) = x + 1    Pick any number, and plug it into that function. No â¦ matter what  number you plug in, the function will always give you a number that  is one larger than the previous one.