Consider the function $f(x) = \frac{1}{x^2-1}$.

There is a vertical asymptote at $x =$
NOTE: If there is more than one you can separate your answers by a comma.

There a horizontal (or oblique) asymptote at $y =$
NOTE: This could be a function of x.

If $A$, $B$, and $C$ are critical points, then $f(x)$ can be broken up into the following unique intervals:
($-\infty,A$), ($A,B$), ($B,C$), ($C,\infty$).

$A =$
$B =$
$C =$

For each of the intervals listed below, select the graph best representing the shape of the function in that interval.

($-\infty,A$): ? 1 2 3 4
      ($A,B$): ? 1 2 3 4
      ($B,C$): ? 1 2 3 4
      ($C,\infty$): ? 1 2 3 4