## Precalculus (6th Edition) Blitzer

No, the equation$3x+{{y}^{2}}=10$ does not represent y as a function of x.
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.