Worked Example 3

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

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