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Step 3:Look at the end behavior (look at the leading terms of the numerator and denominator)-if there is a higher degree in the denominator--the function is getting closer to zero Step 4: Determine the Horizontal asymptote (from end behavior or dividing the numerator by the denominator after graphing the function)Click here to see ALL problems on test. Question 706221: Write a rational function with no vertical asymptote and no holes. Answer by KMST (5295) ( Show Source ): You can put this solution on YOUR website! The denominator is never zero, so there are no vertical asymptotes and no holes. (You need zeros in the denominator for those).