Select all true statements about the function $f(x)=\sqrt[\phantom{2}]{x-2}\sqrt[\phantom{2}]{4-x}=(x-2{)}^{\frac{1}{2}}(4-x{)}^{\frac{1}{2}}$ from the list below.

$f(x)$ is increasing on its domain.

$f(x)$ is decreasing on its domain.

$f(x)$ is decreasing on the interval $(2,3)$

$f(x)$ is decreasing on the interval $(3,4)$

$f(x)$ is increasing on the interval $(3,4)$

$f(x)$ is intereasing on the interval $(2,3)$