A company's training dashboard records the number of hours an employee spends in a simulator ($x$) and their resulting performance score ($y$). For five employees, this data forms the relation $\{(1,1), (2,4), (3,9), (4,16), (5,25)\}$. Recalling how to extract values from ordered pairs, what are the domain and range of this relation?

An inventory tracking system at a regional distribution center assigns a unique shelf identification number ($x$) to each shelving unit and records the total number of stock units ($y$) currently stored on that shelf. For a specific aisle, the data is represented by the relation R = \left\{ (1,1), (2,4), (3,9), (4,16), (5,25) ight\}. Match each mathematical term to the correct set derived from this inventory data.

A network engineer is monitoring data traffic and records the relationship between the number of active users ($x$) and the total bandwidth usage in megabits per second ($y$). The resulting relation is $R = \{(1,1), (2,4), (3,9), (4,16), (5,25)\}$. True or False: The domain of this relation is the set $\{1, 4, 9, 16, 25\}$.

Logistics Throughput Range Identification

A maintenance supervisor at a production facility uses the relation $M = \{(1,1), (2,4), (3,9), (4,16), (5,25)\}$ to track the number of machines serviced ($x$) and the total time spent in hours ($y$). In this mathematical relation, the set of all first coordinates, $\{1, 2, 3, 4, 5\}$, is known as the ____ of the relation.