relations and functions introduction

Introduction - The study of world of life is as old as man itself. All living organisms are made up of a few elements which are repeated in each of them. The basic unit of life - cell, is a structural and functional entity of life. Of all the environmental factors that affect pl..

The plants upon which we depend for the food we eat, and for the oxygen we breathe, depend in turn upon the soil. A good soil supplies the plants with the mineral elements they use. Vigorous, highly productive plants can be grown in solutions of fertilizer minerals in the absence of soil. Mineral n..

A relation becomes a function only if _______. => for two inputs there is exactly one output or for every input, there are fixed number of outputs or for every input there are two outputs or for every input there is exactly one output..

In our daily life, we come across many relations such as father-son, brother-sister, teacher-student and many more. In mathematics too, we come across relations such as . A is a subset of B . line l is parallel to line m . number m is less than number n . In ..

Summary Relations and Functions - A pair of objects, written in a specified order is called an ordered pair . A pair of objects, written in a specified order is called an ordered pair . For the ordered pair (a,b), a is called the first element and b, the second element. The orde..

Integration and differentiation are a pair of inverse operations. So far, from a given function, we have been finding its derivative but the question arises: what is the function whose derivative is known? If the derivative of a function is given, then the f..

All living organisms require a continuous supply of energy for carrying out various functions. The main source of energy for all the functions, in all living organisms is cellular respiratio..

In Greek 'Trigonon' means a triangle. 'Metron' means a measure. The combination of these two words gives us the word 'Trigonometry'. Trigonometry is the branch of mathematics that deals with the relations between the sides and angles of triangles. In our study we will deal with the right ..

Functional groups containing nitrogen are present in a variety of naturally occurring and man made organic compounds. These functional groups impart physico- chemical characteristics to these molecules. These groups are responsible for their unique chemical reactivity patterns a..

When two solid surfaces slide over each other, a frictional force acts between them that opposes the relative motion of the bodies. Similarly, when a layer of a liquid slips on another layer the two exert a tangential force on another. This opposes their motion. The property of a li..