# Bijection/Examples/Real Cube Function

## Example of Bijection

Let $f: \R \to \R$ be the mapping defined on the set of real numbers as:

$\forall x \in \R: \map f x = x^3$

Then $f$ is a bijection.

## Proof

A direct application of Integer Power Function is Bijective iff Index is Odd.

$\blacksquare$