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5-20.

Investigate horizontal asymptotes for quotients of linear functions by examining the results of for different values of , and .     5-20 HW eTool (Desmos)      Homework Help ✎

  1. In complete sentences, summarize your findings.

    A horizontal asymptote can be found by evaluating:

    (Compare the highest-powered term in the numerator with the highest-powered term in the denominator.)

  2. Write the equation of a function that has a horizontal asymptote of and a vertical asymptote .

    Vertical asymptotes can be found by setting the denominator equal to , AFTER you simplify the fraction. As for horizontal asymptotes, see the hint in part (a).

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