how do you detect a whole of an rational function without using a calculator?

Question

or a graph for that matter. All you have is the function.

Answer 1

you mean f(x)=3x+2, for example?

replace f(x) with Y, graph and solve as a normal equation. Linear functions have infinite whole solutions, depending on what you want Y to be.

Of course, I could be minunderstanding you completely. If so, sorry.

Answer 2

your question is not clear: "a whole of a rational function"?
please restate