You are setting up an automated payroll script that must assign exactly one specific bonus tier ($y$) to an employee based on their performance score ($x$). A team member proposes using the mathematical relationship $x + y^2 = 4$ to determine the tier. Recalling how to determine if an equation defines a function, what is the primary reason this equation will fail to work in your script?

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.