Math  /  Algebra

QuestionDetermine whether the equation defines yy as a function of xx. y2=9x2y^{2}=9-x^{2}

Studdy Solution
Since there are two possible yy values for each xx in the interval 3x3-3 \leq x \leq 3, yy is not uniquely determined by xx. Therefore, yy is not a function of xx.
Solution: The equation y2=9x2y^2 = 9 - x^2 does not define yy as a function of xx because for each xx in the domain, there are two corresponding yy values.

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