End Behaviors of any Relation

Question

Does the graph of any relation have end behaviors that can be described the same way as the end behaviors of a polynomial relation?

Answer 1

Not all relations converge to a particular trend as the x values approach either positive or negative infinity (end behavior). Consider f(x) = (e^0.1x)(sin(x)) which does this:

which oscillates back and forth so is not predictable. But a lot of relationships do.