Answer
No, the equation\[3x+{{y}^{2}}=10\] does not represent y as a function of x.
Work Step by Step
Let us consider that the given equation is $3x+{{y}^{2}}=10$.
Simplify the equation as follows:
$\begin{align}
& 3x+{{y}^{2}}=10 \\
& {{y}^{2}}=10-3x \\
& y=\pm \sqrt{10-3x}
\end{align}$
Therefore, for a single value of x, two values of y are obtained. Thus, it is not a function of x.
