What is the smallest value of y that would make the following list of a points not a function.

{(___,
14
14), (
8
8,
17
17), (
18
18,
21
21))

The smallest value of y that would make the list of points not a function is 14.

In order for a set of points to be a function, each x-coordinate must have only one corresponding y-coordinate. In this case, the x-coordinate of 14 has two corresponding y-coordinates: 14 and 17. This violates the definition of a function, so the set of points is not a function.