Worked Example 3

Sketch the graph of \(\text{f}\left( x \right)=\left\{ \begin{matrix}-1 \\x \\1\text{ } \\\end{matrix}\right.\text{}\begin{matrix}\text{for} \\\text{for}\\\text{for}\\\end{matrix}\text{   }\begin{matrix}x<-1 \\ -1\le x\le 1 \\x>1  \\\end{matrix}\) and state its range

Determine whether \(\text{f}\) is a one-one function.