Functions

$f: R-Z \rightarrow[0,1]$ defined by $f(x)=\sqrt{x-[x]}$. (Here $[x]$ represents the greatest integer function)

$f: R \rightarrow(-\infty, 2)$ defined by $f(x)=4 x-x^2-3$

$f:(5, \infty) \rightarrow R-\{0\}$ defined by $f(x)=\frac{1}{\sqrt{x-5}}$

$f:[0,4] \rightarrow[0,4]$ defined by $f(x)=\sqrt{16-x^2}$