Example: Determining Whether Ordered Pairs Represent a One-to-One Function

Inverse of a Function Defined by Ordered Pairs

Example: Determining if the Relation $\{(-4, 8), (-2, 4), (-1, 2), (0, 0), (1, 2), (2, 4), (4, 8)\}$ is a One-to-One Function

Birthday Analogy for Functions

Horizontal Line Test

In a company database, a one-to-one function is used to map each employee ($x$-value) to a unique security badge number ($y$-value). Based on the definition of a one-to-one function, which of the following must be true about the badge numbers in this system?

In a corporate HR database, if the mapping of 'Employee ID Numbers' ($x$) to 'Company Email Addresses' ($y$) is a one-to-one function, then it is possible for two different Employee ID Numbers to be associated with the same Company Email Address.

Match each mathematical term with the description that accurately reflects its role in a corporate inventory system where each unique employee ID ($x$-value) is assigned to exactly one unique laptop serial number ($y$-value).

Defining One-to-One Relationships in IT Asset Management

HR Database Integrity Audit