Answer
See the explanation
Work Step by Step
a. A rational function $r$ is the quotient of polynomial functions:
$r(x)=\frac{P(x)}{Q(x)}$.
we generally assume that the polynomials $P$ and $Q$ have no factors in common.
b. The vertical asymptotes of $y=f(x)$ is the lines $x=a$ whereas $y\rightarrow \infty$ or $y\rightarrow - \infty$ as $x\rightarrow a^{+}$ or $x\rightarrow a^{-}$.
c. The horizontal asymptotes of $y=f(x)$ is the line $y=b$ whereas $y\rightarrow b$ as $x\rightarrow \infty$ or $x\rightarrow -\infty$.
