Is it possible to have a function without a relation? I think the answer is no but I'd like some confirmation or correction! thanks
Your instinct is correct!
For a complete explanation, try
this lesson on functions. But the short answer is that any pairing of information is a relation, but only certain "well behaved" relations are actually functions. Functions are a sub-category of relations.
All functions are relations, but many relations are
not functions!
