A technician is evaluating a system rule for a manufacturing process defined by the equation $x + y^2 = 4$, where $x$ represents the input variable and $y$ represents the output. True or False: This relationship defines $y$ as a function of $x$.

In your role as a database analyst, you are documenting why the system relationship $x + y^2 = 4$ fails to meet the criteria for a function. Based on the standard evaluation process, arrange the following steps in the correct order to prove that this equation does not define $y$ as a function of $x$.

Verifying Functionality in System Logic

You are auditing a data validation rule defined by the equation $x + y^2 = 4$. To document why this rule fails to define a function, match each stage of the evaluation process with the correct description or result identified in your analysis.

An automated inventory sorting machine uses the mathematical relationship $x + y^2 = 4$ to assign a storage bin number ($y$) based on an item's product code ($x$). A quality control technician tests the machine with a product code of $x = 0$ and finds that the equation simplifies to $y^2 = 4$, yielding two possible bin numbers: 2 and -2. Because a single input maps to multiple outputs, this sorting rule fails to define a ____.

Evaluating a Shift Scheduling Algorithm