# IDENTITY FUNCTION

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.

## Related Topics

One to one or Injective function

Onto or Surjective function

One to one and Onto or Bijective function

Into function

Constant Function

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