Does x2 3y2 3 define y as a function of x?

The equation ( x^2 + 3y^2 = 3 ) does not define ( y ) as a function of ( x ) because it can yield multiple values of ( y ) for a given value of ( x ). Specifically, for certain values of ( x ), the equation may produce two corresponding values of ( y ), violating the definition of a function where each input must have a unique output. To determine if ( y ) can be expressed as a function of ( x ), one can solve for ( y ) and find that it results in both positive and negative values, confirming the lack of a unique output.