Answer
No, this function does not pass the vertical line test and therefore y is not a function of x.
Work Step by Step
To determine if y is a function of x, we can check this by doing the vertical line test. For the vertical line test, a vertical line can intersect the graph of the function only once. Therefore, x-y^{2}=0 is not a function of x, as it does not pass the vertical line test.