Master Mapping/Function

Combination of functions, Composition of functions, One-to-One function and Inverse of a function

What you'll learn

Differentiate between a relation and a function

Identify the domain, co-domain and range of functions

Identify the graph of a function

Find the composition of functions

Requirements

The students must be conversant with inequalities

Description

In this  comprehensive course, students will delve into the fascinating world of functions, exploring their properties, applications, and real-world connections. The course focuses on definition of relation and function, Difference between a relation and a function, Identification of the domain, co-domain and the range of a function, Identification of the graph of a function, Finding the combination of functions, Finding the composition of functions, Identification of one-to-one function, Identification of the graph of a one-to-one function, Finding the inverse of a function. Each of the objective has well structured examples to illustrate what will be taught. In addition to the main objectives, the course helps the students to develop critical thinking and problem-solving skills through the interactive lessons and activities. The learner needs to be conversant with linear inequality, quadratic inequality and rational inequality before he/she enrols. The course is arranged in a format that starts with the video lessons before the downloadable materials to help the learner in revision of the concepts taught. The course is designed for parents whose children are still in high school, mathematics educators and anyone interested in geometry and problem solving.This self-paced online course includes video lessons and a downloadable pdf note attached to each video.  Approximately 2-3 hours, depending on the learners pace is required to cover the course.Join us on this engaging journey into the world of similar triangles.

Overview

Section 1: Introduction

Lecture 1 Introduction

Section 2: Identification of Domain, Co-domain and Range from an Arrow Diagram

Lecture 2 Identification of Domain, Co-domain and Range from an Arrow Diagram

Section 3: Graph of a function

Lecture 3 Graph of a function

Section 4: How to find the domain of a given function

Lecture 4 How to find the domain of a given function

Lecture 5 Exam question with the solution

Section 5: Combination of functions

Lecture 6 Combination of functions

Lecture 7 Exam question with the solution

Section 6: Composite Function

Lecture 8 Composite Function

Lecture 9 Exam question with the solution

Section 7: One-to-One mapping

Lecture 10 One-to-One mapping

Section 8: Inverse function

Lecture 11 Inverse function

Lecture 12 Exam question with the solution

The course is for high school students of Additional Mathematics