Determine whether the relation $y=\sqrt[\phantom{2}]{4x2}$ defines $y$ as a function of $x.$ Give the domain.

Does the equation describe $y$ as a function of $x?$

A$.$ No$,$ because the equation $y=\sqrt[\phantom{2}]{4x2}$ assigns more than one $y-$value to one of the $x-$values.

B$.$ Yes, the equation $y=\sqrt[\phantom{2}]{4x2}$ assigns exactly one $y-$value to each distinct $x-$value in the domain

C$.$ No$,$ because the equation $y=\sqrt[\phantom{2}]{4x2}$ assigns exactly one $x-$value to each distinct $y-$value.

D$.$ Yes, because the equation $y=\sqrt[\phantom{2}]{4x2}$ assigns at least one $y-$value to each distinct $x-$value.