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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.
Explanation: As the given number is an integer number, hence the closest integer number to the left of the given number is the same number. Example 2: Find the greatest integer function of 4.7? Solution: [4.7] = 4. Explanation: As the closest integer number to the left of the given number on the number line is 4.