Page 160 - DMTH201_Basic Mathematics-1

Dr. Sachin Kaushal, Lovely Professional University Unit 6: Functions

Unit 6: Functions Notes

CONTENTS
Objectives
Introduction
6.1 Functions
6.1.1 General Characteristics of a Function

6.1.2 Types of Functions
6.1.3 Classification of Functions
6.1.4 Basic Properties
6.2 Rational Function
6.2.1 Definition and Domain of Rational Functions
6.2.2 Exponential Function
6.3 Inverse Function

6.3.1 Description of the Inverse Function
6.3.2 General Procedure for Finding the Inverse of a Function
6.3.3 Graphs of Inverse Functions
6.3.4 Existence of an Inverse
6.3.5 Horizontal Line Test
6.3.6 Finding Inverses
6.4 Logarithmic Function
6.5 Composition of Functions
6.5.1 Composition of Two Functions

6.5.2 Existence of Composition Set
6.6 Summary
6.7 Keywords
6.8 Self Assessment
6.9 Review Questions
6.10 Further Readings

Objectives

After studying this unit, you will be able to:
Define the function and its types
Discuss weather a function is one one, many one, onto or into
Analysis the graphical representation of functions
Discuss the composition of two functions
Explain the inverse of a function

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