While the domain of a rational function depends on DIVAH, the range of a function now depends on the horizontal asymptote. It depends on the opposite of what the domain does, the horizontal asymptote is what now determines the range of a rational function because it can go through the middle of the asymptote but never on the far left or right. This is the difference of domain and range because a vertical asymptote cannot pass through an asymptote while the horizontal can. For example, if there was a rational function and we were to graph it and it ended up going through the horizontal asymptote in the middle and contained a hole then that would give us a restriction for the range but sometimes it doesn't give us restrictions.
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