Category: Relations and Functions

The Greatest integer function is defined as   ,   where    denotes the greatest integer that is less than or equal to . In set  notation we would write this as   . It is also called the floor function  and step function. Example.  ,      and Domain and Range of Greatest integer function Domain of greatest integer function is  ( the set of all real numbers) and range is ( the set of all integers ) as it only attains integer value. Graph of Greatest integer function Let be the greatest  integer function define as    for all Let us …