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Define Greatest Integer Functions with Examples

GREATEST INTEGER FUNCTIONS


GREATER INTEGER FUNCTION of any term represents greatest integer present in that term but not greater than that term.

 GREATEST INTEGER FUNCTION (but not greater than x) is denoted by y=[x]
Graph For Greatest Integer Function
Greatest integer function of positive numbers:
     1)   Find the greatest integer functions of the following terms                                      i) y=[8.9]  ii) y=[3.4] 

               i) y=[8] , greatest integer function is 8

               ii)  y=[3.4] , greatest integer function is 3

Note :  from the above cases the greatest integer function of any term represents the integer part of that number

Greatest integer function of negative numbers

 2)   Find the greatest integer function of i)y=[-6.4] ii] y=[-8.9]

            i) y=[6.4] , greatest integer function is -7

            ii) y =[8.9] ,greatest integer function is -8
                                                  
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