Reciprocal of a cubic function

1. Oct 22, 2009

staka

Is it possible to have the reciprocal of a cubic function that does not have any vertical asymptotes?

2. Oct 22, 2009

boboYO

If the reciprocal has no vertical asymptotes, then the cubic function would have no roots. No such cubic exists.

3. Oct 22, 2009

staka

Yeah.. thought so. I guess for all reciprocal functions, there will always be a vertical asymptote.