Steps to graph the reciprocal of a function:
1) Plot a horizontal asymptote
2) Plot vertical asymptote(s)
equate the original function to 0; solve for
3) Plot y-intercept(s)
4) Plot invariant points:
equate the original function to +1 and -1; solve for
5) Place your pen at the invariant points, then smoothly move away while tracing along the asymptotes!