Given, f(x) =
Where [x] is the Greatest Integer Function of x.
f(x) =
where {x} is fractional part of x.
The graph of f(x) is
(i) dom(f)
Domain of{x} is R.
The value of the fractional part of x is always either positive or zero.
Hence domain of f(x) is R.
(ii) range(f)
Range of {x} is [0,1).
As the root value [0,1) between interval lies between [0,1).
Hence range of f(x) is [0,1).