Find the vertical asymptotes by finding the values that make the expression undefined. Find the oblidue asymptote by long polynomial division.
Domain:

(1)
\begin{align} (-\infty,0)\cup(0,\infty) \end{align}
(2)
\begin{align} {x|x\neq0} \end{align}

Vertical Asymptotes: $x=0$
No Horizontal Asymptote
Oblique Asymptotes: $y=x^2+3x-1$

Using the graph, find the vertical and horizontal asymptotes of the function.

Vertical: $x=1$
Horizontal: $y=1$

Find the Asymptotes of each function:

$f(x)=\frac{x^2+3x+2}{x-1}$

Vertical: $x=1$
Horizontal: No horizontal asymptote

$f(x)=\frac{2x^2+5x-3}{2x^2+7x+3}$

Vertical: $x=\frac{-1}{2}\$
Horizontal: $y=1$

Find and graph each asymptote:

$f(x)=\frac{x^2-9}{x^2+4x-21}$
Vertical: $x=-7$
Horizontal: $y=1$
X-Intercept: $(-3\textrm{,}0)$
Y-Intercept: $(0\textrm{,}\frac{3}{7})$