A warehouse uses a numeric mapping to assign storage zones to item categories. The assignment is defined by the function $f = \{(0, 3), (1, 5), (2, 7), (3, 9)\}$, where the first number in each pair is the zone and the second is the category code. To create a lookup tool that finds the zone based on a category code, you need to identify the inverse function, $f^{-1}$. Which of the following sets represents $f^{-1}$?

A logistics facility maps specific shipping bay numbers (0, 1, 2, and 3) to unique security codes (3, 5, 7, and 9). This relationship is defined by the function $B = \{(0, 3), (1, 5), (2, 7), (3, 9)\}$. To determine which shipping bay corresponds to a known security code, staff use the inverse function, $B^{-1}$. Match each part of the inverse function to its correct value.

A corporate help desk uses the function $f = {(0, 3), (1, 5), (2, 7), (3, 9)}$ to assign ticket priority levels (0, 1, 2, and 3) to maximum response times in hours (3, 5, 7, and 9). To generate a report that lists the priority levels associated with each response time, the desk uses the inverse function $f^{-1}$. True or False: The range of this inverse function is $\{0, 1, 2, 3\}$.

Logistics Bay Inversion

As an inventory specialist, you use a system that maps storage aisle numbers to their corresponding security checkpoint codes using the function $\{(0, 3), (1, 5), (2, 7), (3, 9)\}$. To create a reverse lookup tool, you need to find the inverse of this function. Arrange the steps in the correct chronological order to verify the function, find its inverse, and identify the new domain and range.