## Greatest Integer Function

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 …