Determine whether the equation defines y as a function of x.
-$x^{2}+2 y^{2}=1$

A) function
B) not a function

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

Determine whether the equation defines y as a function of x.
-$x^{2}+2 y^{2}=1$

A) function
B) not a function

Quizplus · Accepted Answer

The equation $x^{2}+2y^{2}=1$ 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