A laboratory technician records the temperature change in degrees Celsius ($x$) and the resulting pressure change in kilopascals ($y$) as the following set of ordered pairs: {(-3, -6), (-2, -4), (-1, -2), (0, 0), (1, 2), (2, 4), (3, 6)}. Based on the definition of a mathematical function, which of the following statements correctly identifies if this relation is a function?

A logistics coordinator tracks deviations in shipping weight from a standard (input $x$) and the resulting adjustment in freight charges (output $y$) using the set of ordered pairs: {(-3, -6), (-2, -4), (-1, -2), (0, 0), (1, 2), (2, 4), (3, 6)}. True or False: This relation qualifies as a mathematical function because each $x$-value in the set corresponds to exactly one $y$-value.

A logistics analyst tracks the relationship between fuel consumption adjustments ($x$) and the resulting delivery speed variance ($y$) using the data set L = {(-3, -6), (-2, -4), (-1, -2), (0, 0), (1, 2), (2, 4), (3, 6)}. Match each mathematical term with its correct value or description based on this specific relation.

Identifying Domain and Function Properties in Logistics

A quality control technician records the deviation in machine speed (input $x$) and the resulting variance in unit production (output $y$) as the set S = {(-3, -6), (-2, -4), (-1, -2), (0, 0), (1, 2), (2, 4), (3, 6)}. In the mathematical analysis of this data, the set of all possible output values $\{-6, -4, -2, 0, 2, 4, 6\}$ is formally referred to as the ____.

A manufacturing quality assurance technician records the relationship between machine input calibration settings ($x$) and resulting output voltage deviations ($y$) as the set of ordered pairs: R = {(-3, -6), (-2, -4), (-1, -2), (0, 0), (1, 2), (2, 4), (3, 6)}. To mathematically verify if this calibration relation is a function, arrange the steps of the standard evaluation process in the correct sequence from first to last.

Automated Labeling Machine Calibration Analysis