# Reciprocal Function

This is the Reciprocal Function:

f(x) = 1/x

This is its graph:

f(x) = 1/x

It is a Hyperbola

It is an odd function

Its Domain is the Real Numbers, **except 0**, because 1/0 is undefined.

Using set-builder notation:

Its Domain is {x | x ≠ 0}

Its Range is also {x | x ≠ 0}

## As an Exponent

The Reciprocal Function can also be written as an exponent :

f(x) = x^{-1}

(it means the same thing)

Plot the graph here