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