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Pavitar Parkash Singh, Lovely Professional University                                 Unit 1: Functions





                                            Unit 1: Functions                                          Note



                   CONTENTS

                   Objectives
                   Introduction
                   1.1  Quantities
                   1.2  Related Quantities
                   1.3  Functions
                   1.4  Definition of Functions
                   1.5  Explanation of Functions
                   1.6  Functional Notations
                   1.7  Value of Functions
                   1.8  Definition of Functions by Mapping
                   1.9  Domain and Range of Functions
                   1.10  Kinds of Functions
                   1.11  Operations in the Set of Functions
                   1.12  Graph of Functions
                   1.13  Use of Linear Functions in Economics
                   1.14  Summary
                   1.15  Keywords
                   1.16  Review Questions
                   1.17  Further Readings


               Objectives

               After reading this unit, students will be able to :
                z  Know the Functions and Related Quantities.
                z  Determine the Value of Functions.
                z  Know the Definition of Functions by Mapping.
                z  Determine the Domain and Range of Functions.
                z  Understand the use of Linear Functions in Economics.

               Introduction

               In many of the questions, we have to determine the effect of increase-decrease of an independent
               number on a number dependent on it. For example, area of circle always depends on the radius of
               it, because if radius is increased or decreased, then area of the circle will also decrease or increase
               according to the radius. Here radius of the circle is a number and area of the circle is another
               number, which are related to each other. Thus volume of a cylinder depends on its radius, area of
               square and volume of a cuboid depend on the length of its arm. The distance covered by a running
               train in dynamic velocity depends on the time taken. Velocity of a falling particle depends on the
               distance covered by it. Atmospheric pressure of a certain place depends on the alleviation of its
               height from sea-coast etc.




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