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  • If [x] denote the greatest integer not exceeding the real number x , then the range of the function f(x)=[x+1]+[x-1]+2[-x] , is

If [x] denote the greatest integer not exceeding the real number x , then the range of the function f(x)=[x+1]+[x-1]+2[-x] , is

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Solution:     f(x)=[x]+1+[x]-1+2[-x]

                     f(x)=2([x]+[-x])

               Rightarrow   Where Z  is the set of all integers .

              herefore      R(f)=2,0.

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Deependra Verma

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