# Math Tutorial 16.2 - Injective, Surjective and Bijective Functions. Graphs of Functions

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There are 7 lessons in this math tutorial covering Injective, Surjective and Bijective Functions. Graphs of Functions. The tutorial starts with an introduction to Injective, Surjective and Bijective Functions. Graphs of Functions and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Injective, Surjective and Bijective Functions. Graphs of Functions. you can access all the lessons from this tutorial below.

In this Math tutorial, you will learn:

• What is codomain? Where does it differ from the range?
• What are injective functions?
• What are surjective functions?
• What is the condition for a function to be bijective?
• How to build the graph of a function?
• What is the horizontal line test? What is it is used for?
• What is the vertical line test? What is it is used for

## Introduction

In this tutorial, we will see how the two number sets, input and output, are related to each other in a function. Based on this relationship, there are three types of functions, which will be explained in detail. The tutorial finishes by providing information about graphs of functions and two types of line tests - horizontal and vertical - carried out when we want to identify a given type of function.

Please select a specific "Injective, Surjective and Bijective Functions. Graphs of Functions" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.

Functions Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
16.2Injective, Surjective and Bijective Functions. Graphs of Functions
Lesson IDMath Lesson TitleLessonVideo
Lesson
16.2.1Domain, Codomain and Range
16.2.2Injective Function
16.2.3Surjective Function
16.2.4Bijective Function
16.2.5The Graph of a Function
16.2.6Horizontal Line Test
16.2.7Function or not a Function? The Vertical Line Test

## Whats next?

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5. Continuing learning functions - read our next math tutorial: Basic Functions

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