Functions - One-to-One Functions and Inverse Existence
Functions - One-to-One Functions and Inverse Existence
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 \(f\) is a one-one function.
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Answer: \({{R}_{\mathrm{f}}}=[-1,1]\); \(\mathrm{f}\) is not a one-one function.
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