# function

## What is Composition of Functions ?

Here you will learn what is composition of functions with properties and examples. Let’s begin – What is Composition of Functions ? Let f : A $$\rightarrow$$ B & g : f : B $$\rightarrow$$ C be two functions. Then the function gof : f : A $$\rightarrow$$ C defined by (gof)(x) = g(f(x)) $$\forall$$ …

## Many One Function – Definition and Examples

Here you will learn what is many one function with definition and examples. Let’s begin – Many One Function Definition : A function f : A $$\rightarrow$$ B is said to be a many-one function if two or more elements of set A have the same image in B. Thus, f : A $$\rightarrow$$ B …

## One One Function (Injection) – Definition and Examples

Here you will learn what is one one function with definition and examples. Let’s begin – One One Function Definition Definition : A function f : A $$\rightarrow$$ B is said to be a one-one function or an injection if different elements of A have different images in B. Thus, f : A $$\rightarrow$$ B …

## Types of Functions in Maths – Domain and Range

Here you will learn types of functions in maths i.e polynomial function, logarithmic function etc and their domain and range. Let’s begin – Types of Functions in Maths (a) Polynomial function If a function is defined by f(x) = $$a_0x^n$$ + $$a_1x^{n-1}$$ + $$a_2x^{n-2}$$ + ….. + $$a_{n-1}x$$ + $$a_n$$ where n is a non …

## What is Inverse of a Function – Properties and Example

Here, you will learn what is inverse of a function, its properties and how to find the inverse of a function. Let’s begin – Inverse of a Function Let f : A $$\rightarrow$$ B be a one-one & onto function, then there exists a unique function g : B $$\rightarrow$$ A such that f(x) = …

## What is a Periodic Function – Definition and Example

Here, you will learn what is a periodic function with definition and example. Let’s begin – Periodic Function A function f(x) is called periodic if there exist a positive number T (T > 0), where T is the smallest such value called the period of the function such that f(x + T) = f(x), for …

## One One and Onto Function (Bijection) – Definition and Examples

Here, you will learn one one and onto function (bijection) with definition and examples. Let’s begin – What is Bijection Function (One-One Onto Function) ? Definition : A function f : A $$\rightarrow$$ B is a bijection if it is one-one as well as onto. In other words, a function f : A $$\rightarrow$$ B …

## Domain and Range of Greatest Integer Function

Here, you will learn domain and range of greatest integer function and properties of greatest integer function with example. Let’s begin – Greatest Integer Function or Floor Function For any real number x, we use the symbol [x] or $$\lfloor x \rfloor$$ to denote the greatest integer less than or equal to x. For example, …

## What is the Domain and Range of Modulus Function

Here, you will learn modulus function and what is the domain and range of modulus function. Let’s begin – The function f(x) defined by y = |x| = $$\begin{cases} x & \text{if}\ x \ge 0 \\ -x & \text{if}\ x < 0 \end{cases}$$ is called the modulus function. It is also called absolute value function. …

## How to Determine Odd Even Function

Here, you will learn what is odd even functions and how to determine if given function is odd or even with example. Let’s begin – Odd Even Function : Let a function f(x) such that both x and -x are in its domain then If f(-x) = f(x) then f is said to be an …