Let A be a non-empty set. A function
f : A ---> A is called an identity-function of A if f(a) = a for all 'a' belonging to A.
That is, an identity function maps each element of A into itself.
For example, let A be the set of real numbers (R). The function f : R ----> R be defined by f (x) = x for all x belonging to R is the identity-function on R.
The figure given below represents the graph of the identity function on R.
One to one or Injective function
One to one and Onto or Bijective function
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