The function \(\mathrm{f}\) is referred to as the identity function in case each element of set A has an image on itself. For example, \(\mathrm{f}\) (a) \(=\) a \(\forall\) \(\mathrm{a} \in \mathrm{A}\). Its denotation takes place by I. Example: Consider, \(\mathrm{A}=\{1,2,3,4,5\}\).