Determine whether the equation defines y as a function of x.
-$$x ^ { 2 } - 5 y ^ { 2 } = 1$$
A)function
B)not a function

Question

Quizplus · Accepted Answer

The equation $x^2 - 5y^2 = 1$ does not define y as a function of x because for a given x-value, there can be two different y-values (one positive and one negative) that satisfy the equation, violating the definition of a function where each input should have exactly one output.

Determine Whether the Equation Defines Y as a Function of X