Example: Determining if the Relation $\{(-3, -6), (-2, -4), (-1, -2), (0, 0), (1, 2), (2, 4), (3, 6)\}$ is a Function

Example: Determining that the Relation $\{(8, -4), (4, -2), (2, -1), (0, 0), (2, 1), (4, 2), (8, 4)\}$ is Not a Function

At a logistics company, a software system records package deliveries as a set of ordered pairs. The first coordinate ($x$) represents a unique package tracking ID, and the second coordinate ($y$) represents the assigned delivery zone. According to the mathematical definition, what must be true about this set of ordered pairs for it to be considered a function?

A warehouse management system uses a set of ordered pairs $(x, y)$ to map unique Item Barcodes ($x$) to their assigned Storage Bins ($y$). To satisfy the mathematical definition of a function, each unique Item Barcode must correspond to exactly ____ Storage Bin(s).

In a professional data management system, relations are often represented as sets of ordered pairs $(x, y)$. True or False: If a single $x$-value is associated with two or more different $y$-values, the relation is NOT considered a mathematical function.

In a logistics department, a database tracks the relationship between Package Tracking IDs ($x$) and assigned Delivery Trucks ($y$) as sets of ordered pairs. Match each set of ordered pairs with the correct description of its status as a mathematical function.

Defining Function Criteria for Data Relations

A data technician at a local medical clinic is reviewing a registry database of patient registrations. The registry records these registrations as a set of ordered pairs $(x, y)$, where the first coordinate $x$ represents the Patient ID and the second coordinate $y$ represents the Assigned Doctor ID. To ensure database integrity, the technician must recall the standard procedure to verify if this relation represents a mathematical function.

Arrange the steps below in the correct logical sequence to describe the standard procedure for determining whether a set of ordered pairs is a function.

Explaining the Rule for Functions in Data Logging