Question

Does y^2=4-x^2 define y as a function of x?

Answer 1

The anwer is YES, let's see why:

`\begin{gathered} y^2=4-x^2 \\ y=\sqrt[]{4-x^2} \end{gathered}`

If we solve for y, as in the second equation, we can see that "y" will have a value depending on which value "x" will take.

Actually, this is the meaning of function involving independent and dependent variables ( x and y, respectively)