### Home > APCALC > Chapter 5 > Lesson 5.1.2 > Problem 5-20

Investigate horizontal asymptotes for quotients of linear functions by examining the results of *a, b, c, *and *d*. * *5-20 HW eTool (Desmos) Homework Help ✎

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.)

Write the equation of a function

*y*= 3 and a vertical asymptote*x*= –5.Vertical asymptotes can be found by setting the denominator equal to 0, AFTER you simplify the fraction. As for horizontal asymptotes, see the hint in part (a).

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