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

Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

Kindly mail your feedback to

We always appreciate your feedback.

©All rights reserved.

Recent Articles

  1. Polar Form of a Complex Number

    Apr 16, 24 09:28 AM

    Polar Form of a Complex Number

    Read More

  2. Conjugate of a Complex Number

    Apr 15, 24 11:17 PM

    Conjugate of a Complex Number

    Read More

  3. Complex Plane

    Apr 14, 24 07:56 AM

    Complex Plane

    Read More