What does the word function stand for? By the word function, we understand the responsibility or role one has to play. What is the function of the leaves of plants – to prepare food for the plant and store them? What is the function of the roots of plants? They absorb water and other nutrients from the ground and supply it to the plants and help them stand erect. Can we say that everyone has different types of functions? Let’s learn about some types of function in mathematics!

Functions

We can define a function as a special relation which maps each element of set A with one and only one element of set B. Both the sets A and B must be non-empty. A function defines a particular output for a particular input. Hence, f: A → B is a function such that for a ∈ A there is a unique element b ∈ B such that (a, b) ∈ f

Browse more Topics under Relations And Functions

Relations

Functions

Types of Relations

Representation of Functions

Composition of Functions and Invertible Function

Algebra of Real Functions

Cartesian Product of Sets

Binary OperationsWe have already learned about some types of functions like Identity, Polynomial, Rational, Modulus, Signum, Greatest Integer functions. In this section, we will learn about other types of function.

One to One Function

A function f: A → B is One to One if for each element of A there is a distinct element of B. It is also known as Injective. Consider if a1 ∈ A and a2 ∈ B, f is defined as f: A → B such that f (a1) = f (a2)

types of functions