Why is it possible to have two different rational functions with the same asymptotes?

Answer: Down below.

Step-by-step explanation:

A horizontal asymptote for a function is a horizontal line that the graph of the function approaches as x approaches ∞ (infinity) or - ∞ (minus infinity) ... There are literally only two limits to look at, so that means there can only be at most two horizontal asymptotes for a given function