# So what is Domain and Range? Let's check it out

In this lesson , students will be able to know domain and range definition with examples

### Introduction

A rule of association between input and output values is referred to as a mathematical ‘function’. Functions or relations link between independent variables or input values , which can be manipulated by situations , and dependent variables or output values.

The couple of terms i.e. domain and range are important components of a function. So let’s define domain and range.

## What is domain and range?

### Domain

The set of all potential independent values at which a function is defined is called domain of that function.

### Range

The set of potential dependent values produced by a function from the domain values is known as range of that function.

## Find domain and range of function shown in the diagram ### Solution

Let’s say the given function f.

Domain of f will be the set { A, B , C , E} where D is not included because the given function is not defined at this domain.

Range of f will be the set { 1, 2 , 3 , 4} where 5 is excluded because there is no domain value for it.

## Find domain and range of f (x) = x

### Solution

As x can be any natural number . So ,

Domain: { 1, 2 , 3 , … }

Range : { 1 , 4 , 9 ,… }

Problem 3

### What is domain and range for Solution

To find the domain of the given function , we must first consider that values for which the function will be undefined. In this case , there is none of such values except 1 that can undefine the function. For all values of domain , the range can be any real number except zero. Ian Roberts Engineer San Francisco, USA "If you're at school or you just deal with mathematics, you need to use Studygeek.org. This thing is really helpful." Lisa Jordan Math Teacher New-York, USA "I will recommend Studygeek to students, who have some chalenges in mathematics. This Site has bunch of great lessons and examples. " John Maloney Student, Designer Philadelphia, USA " I'm a geek, and I love this website. It really helped me during my math classes. Check it out) " Steve Karpesky Bookkeeper Vancuver, Canada "I use Studygeek.org a lot on a daily basis, helping my son with his geometry classes. Also, it has very cool math solver, which makes study process pretty fun"