The function $f(x) = \operatorname{sech}(x)$ on $R$ has the range

The domain of the function $f: R \rightarrow R$ defined by $f(x) = \sqrt{x^{2}-7x+12}$ is

Match the following functions with their respective ranges:

Function	Range
$A. f(x) = |x|$	$I. [0, \infty)$
$B. f(x) = x^2$	$II. \mathbb{R}$
$C. f(x) = x^3$	$III. [0, \infty)$
$D. f(x) = \text{sgn}(x)$	$IV. \{-1, 0, 1\}$

If $R = \{ (x, y) | x, y \in Z, x^2 + y^2 \le 4 \}$ is a relation in $Z$,then the domain of $R$ is:

If $[\cdot]$ denotes the greatest integer function,then the domain and range of the function $f(x) = \frac{\sin([x]\pi) + \tan([x]\pi)}{1 + [x]^2 + [x]^4}$ are respectively

The domain of $f(x)=\cos ^{-1}\left(\frac{x-3}{2}\right)-\log _{10}(4-x)$ is