## 1.2.2 Domain, Range, Objects, Images and Absolute Value Functions

(B) Domain, Range, Objects and Images of a Function Example: The arrow diagram above represents the function f : x → 2×2 – 5. State (a) the domain, (b) the range, (c) the image of –2, (d) the objects of (i) –3, (ii) –5.   Solution: (a) Domain = {–2, –1, 0, 1, 2}. (b) … Read more

## 1.2.1 Notation of Function

As shown in figure above, for a function f : X → Y , each element x in the domain X has a unique image y in the codomain Y.  The function can be written as: y = f ( x ) o r f : x ↦ f ( x ) For y = … Read more

## 1.2 Function – An Introduction

A function is a relation in which every element in the domain has a unique image (exactly one) in the codomain. One-to-one relation and many-to-one relation are examples of a special kind of relation which we call function.

## 1.1.2 Types of Relation

Relation can be classified into 4 types: One-to-one relation Many-to-one relation One-to-many relation Many-to-many relation

## 1.1.1 Relation – Domain and Codomain

Domain and Codomain In the relation between one set and another, the first set is known as the domain and the second set is known as the codomain. Elements in the domain is called objects, whereas elements in the codomain mapped to the objects is called the image. Elements in the codomain not mapped to … Read more

## 1.1 Relations

A relation connects elements in set A (domain) to elements in set B (codomain) according to the definition of the relation. Relation can be represented in 3 forms: Ordered pair Arrow diagram Graph Recommended Videos Relations and Functions