Investigate horizontal asymptotes for quotients of linear functions by examining the results of $\lim\limits_ { x \rightarrow \infty } ( \frac { a x + b } { c x + d } )$ for different values of $a$, $b$, $c$, and $d$. 

1. In complete sentences, summarize your findings.

   Hint (a):

   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. Find a function $f(x)$ that has a horizontal asymptote of $y = 3$ and a vertical asymptote $x =-5$

   Hint (b):

   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).