A data analyst at a marketing firm is tracking the growth of a client's social media account over its first five months. The relationship between the month number and the total followers (in thousands) is recorded as the following relation: $\{(1, 1), (2, 8), (3, 27), (4, 64), (5, 125)\}$. Based on this data, which set represents the domain of the relation?

A data center technician monitors the power consumption of a server rack as more processors are activated. The relationship between the number of active processors ($x$) and the energy usage ($y$, in units) is recorded as the relation: $E = {(1,1), (2,8), (3,27), (4,64), (5,125)}$.

True or False: The range of this relation is the set ${1, 2, 3, 4, 5}$.

A logistics coordinator is calculating the storage capacities for five different cubic crates used in a warehouse. The relationship between the side length of each crate in meters ($x$) and its total volume in cubic meters ($y$) is recorded as the relation: $R = \{(1, 1), (2, 8), (3, 27), (4, 64), (5, 125)\}$. Match each mathematical description of this data set with its corresponding set or value.

Identifying Operational Parameters in Manufacturing

Inventory Management and Volume Scaling