# Bijective Restriction/Examples

### Bijective Restrictions of $f \paren x = x^2 - 4 x + 5$
Let $f: \R \to \R$ be the real function defined as:
$\forall x \in \R: \map f x = x^2 - 4 x + 5$
The following real functions are bijective restrictions of $f$:
 $\ds f_1: \hointl \gets 2$ $\to$ $\ds \hointr 1 \to$ $\ds f_2: \hointr 2 \to$ $\to$ $\ds \hointr 1 \to$