Question

Which represents a function?

A 2-column table with 5 rows. The first column is labeled x with entries negative 5, negative 3, negative 3, 0, 5. The second column is labeled y with entries 10, 5, 4, 0, negative 10.

StartSet (negative 8, negative 2), (negative 4, 1), (0, negative 2), (2, 3), (4, negative 4) EndSet

A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 0, 1. The second column is labeled y with entries negative 3, negative 2, negative 1, 0, negative 1.

StartSet (negative 12, 4), (negative 6, 10), (negative 4, 15), (negative 8, 18), (negative 12, 24) EndSet

Answer 1

The second option represents a function.

Explanation:

A function is a relation where each input (x-value) is associated with only one output (y-value). In the second option, the x-values (-2, -1, 0, 0, 1) are all unique, and each x-value is paired with only one y-value (-3, -2, -1, 0, -1). This satisfies the definition of a function.