A function fff is defined as f(x)=⌊x⌋+x−⌊x⌋f(x) = \lfloor x \rfloor + \sqrt{x - \lfloor x \rfloor}f(x)=⌊x⌋+x−⌊x⌋. What is the range of this function?
[0, \infty)
{n + \sqrt{k} \mid n \in \mathbb{Z}, k \in [0, 1]}
\mathbb{R}
[0, 1]