Function Check 593764

1. The problem asks us to determine if the given equation defines $y$ as a function of $x$. 2. A relation defines $y$ as a function of $x$ if for every value of $x$, there is exactly one corresponding value of $y$. 3. To check this, we analyze the equation and see if any $x$ value corresponds to more than one $y$ value. 4. If the equation is explicit as $y = f(x)$, then $y$ is a function of $x$. 5. If the equation is implicit or involves $y$ in a way that multiple $y$ values can correspond to the same $x$, then $y$ is not a function of $x$. 6. Without a specific equation given, we cannot definitively conclude, but the method is to solve for $y$ and check if multiple values arise for any $x$. Final answer: The equation defines $y$ as a function of $x$ if and only if for each $x$ there is exactly one $y$ value.