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

Only the set {(-8, -2), (-4, 1), (0, -2), (2, 3), (4, -4)} is a function.

Reasons:
- Table 1 (x = -5, -3, -3, 0, 5): x = -3 pairs with two different y-values (5 and 4) → not a function.
- Set {(-8,-2),...,(4,-4)}: all x-values are distinct → function.
- Table 2 (x = -2, -1, 0, 0, 1): x = 0 pairs with two different y-values (-1 and 0) → not a function.
- Set {(-12,4),...,( -12,24)}: x = -12 pairs with two different y-values (4 and 24) → not a function.