Rational functions (§§5.2&5.3)

To graph a rational function: You should definitely mark all intercepts, asymptotes, and holes; if the graph crosses the non-vertical asymptote, then you can mark that too. You may want to plug in some more numbers to find more points; on the other hand, using multiplicity as a guide near the horizontal intercepts and vertical asymptotes, you should have enough information for a rough graph already. (For a more precise graph, at least near the vertical asymptotes and the horizontal intercepts, you can use the same optional technique as for polynomial functions.)
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