The most basic form of reciprocal functions are of the form [math]y=\frac{1}{f\left(x\right)}[/math][br][br]The vertical asymptote(s) are always generated at where [math]f\left(x\right)=0[/math][br]The horizontal asymptote(s) are the values of[math]y[/math] when [math]x\longrightarrow\pm\infty[/math]

The simplest of reciprocal functions is [math]y=\frac{1}{x^n}[/math]