Determine whether the equation defines y as a function of x.
-$$y ^ { 2 } + x = 8$$
A)function
B)not a function

Question

Quizplus · Accepted Answer

For an equation to define y as a function of x, each value of x must correspond to exactly one value of y. In the given equation, $y^2 + x = 8$, solving for y gives $y = \pm\sqrt{8-x}$, which means for a given x, there are two possible values of y (except when $8-x=0$). This violates the definition of a function, hence it does not define y as a function of x.

Determine Whether the Equation Defines Y as a Function of X