Write the domain and the range of the function,
Write the domain and the range of the function,

Answer : Given,

Where [x] is the Greatest Integer Function of x.

Where {x} is fractional part of x

The graph of f(x) is

  • 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.

  • 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).