As an analyst reviewing business projections, you are examining a linear graph that models company expenses based on the equation $y = 2x - 3$. To recall whether this relationship is mathematically a function, what visual condition must be satisfied when you imagine drawing a vertical line anywhere through the graph?

A facilities manager uses the equation $y = 2x - 3$ to estimate the total cost ($y$) of a repair based on the number of hours worked ($x$). To confirm that this relationship is a function, the manager must verify that for every input $x$, there is exactly ____ output $y$.

An energy consultant uses the equation $y = 2x - 3$ to calculate the expected power load ($y$) based on the number of active machines ($x$). True or False: This relationship is mathematically a function because each specific number of machines ($x$) corresponds to exactly one power load value ($y$).

A shipping coordinator uses the linear equation $y = 2x - 3$ to model the relationship between the weight of a package ($x$) and the shipping cost ($y$). To confirm that this model is mathematically a function, the coordinator performs a visual verification on the graph. Arrange the following steps in the correct order to carry out this verification process.

Verifying a Business Profit Model as a Function

Validating a Production Cost Model