Determine whether the equation defines y as a function of x.
-$$x + y ^ { 2 } = 1$$
A) $y$ is a function of $x$
B) $y$ is not a function of $x$

Question

Quizplus · Accepted Answer

For a given value of $x$, there can be two different values of $y$ that satisfy the equation $x + y^2 = 1$, because $y^2$ can have both a positive and a negative square root. This violates the definition of a function, which requires that each input is associated with exactly one output.

Determine Whether the Equation Defines Y as a Function of X