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polynomial function. Basically, if f(c)=0, then (x-c) is a factor of f(x). 3. For rational functions ONLY, find the asymptotes. 4. Perform the sign analysis. 5. Graph the function. Now if we elaborate on step (3) for rational functions, we have: vertical asymptotes, horizontal asymptotes, and oblique/slant asymptotes. Asymptotes For Rational ...