A series of points in the form (x, y) is a function if every

-value is different.

This statement is not entirely accurate. A series of points (x, y) is considered a function if each x-value is associated with only one y-value. In other words, for each x, there should be a unique y-value. This means that even if some y-values are the same, the series of points can still be a function as long as each x is paired with only one y.