1Cademy - An inventory analyst is reviewing the relationship between two variables in a predictive model, defined by the equation $x + y^2 = 1$. The analyst substitutes an input value of $x = 0$ into the rearranged equation $y^2 = -x + 1$ and finds two possible solutions for $y$: 1 and -1. Recalling the fundamental rule that substituting a single input value must not produce more than one corresponding output value, the analyst concludes that this equation does not define a _____

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Example: Determining if the Equation $x + y^2 = 1$ Defines a Function

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An inventory analyst is reviewing the relationship between two variables in a predictive model, defined by the equation $x + y^2 = 1$ . The analyst substitutes an input value of $x = 0$ into the rearranged equation $y^2 = -x + 1$ and finds two possible solutions for $y$ : 1 and -1. Recalling the fundamental rule that substituting a single input value must not produce more than one corresponding output value, the analyst concludes that this equation does not define a ______.

Updated 2026-09-18

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