Final answer:
The relation S is not a function because it fails the vertical line test.
Step-by-step explanation:
The relation S is not a function because it fails the vertical line test. To be a function, each x-value can only be associated with one y-value. However, in the relation S, the x-value 2 is associated with both 4 and 3. This violates the rule for functions, so the answer is No, it is not a function (B).