Identity Function – Definition, Graph, Domain and Range

Here you will learn what is identity function with definition, graph and examples.

Let’s begin –

What is Identity Function ?

Definition : The function that associates each real number to itself is called the identity function. It is usually denoted by I.

Thus, the function I : R \(\rightarrow\) defined by I(x) = x for all x \(\in\) R is called the identity function.

For Example, f(2) = 2

Also Read : Types of Functions in Maths – Domain and Range

Graph of Identity Function

The graph of a function f(x) = x or y = x is a straight line passing through the origin and inclined at an angle of 45 degrees with x-axis.

identity function

Domain and Range

Clearly, the domain and range of the identity function are both equal to R.

Domain : R

Range : R

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