# How do you find all the asymptotes for function y=1/x?

You cannot divide by $0$, so $\frac{1}{0}$ describes a vertical asymptote at $x = 0$. Also, $0 \ne \frac{1}{x}$ because $x \cdot 0 = 0 \ne 1$, so there is a horizontal asymptote at $y = 0$.