# What is the reciprocal function?

Oct 27, 2014

The reciprocal function is:

$f \left(x\right) = \frac{1}{x}$

It's graph is as following:

This is an example of asymptote.

Since $x$ can take all values except $0$ for $f \left(x\right)$ to be defined,
Domain: $R - \left\{0\right\}$, i.e., all real numbers except 0.
Range: $R - \left\{0\right\}$, i.e., all real numbers except 0.