Joseph Hudson CBSE CLASS 12
We provides world class E-learning content for CBSE Class 12 students which help them to learn their Subjects in easiest way and in animated form. We focus on student’s problems and to provide solutions in best possible way.We are covering all courses related to CBSE Class 12
Physics
Maths
Chemistry
Biology
Commerce
Computer Science
We also provide Sample papers, solutions, articles on important topics and other study materials as per latest syllabus of “CBSE” Board for class 11th and 12th.
We have 3D animation videos, presentations, samples and documents based latest guidelines of CBSE Board with the features like simulation.
Our team has developed the content in such a way that its Tech Jazy interesting and easy to learn for students online and as well as offline.
Our focus is on giving exact and productive solutions, so that students could gain effective points/marks in cost-effective time.
We are offering more courses for CBSE Class 11, CBSE Class 10, CBSE Class 9 and CBSE Classes 1-8.
Online and Offline solutions for cbse class 12 maths
cbse class 12 maths – We are providing solutions for maths and other subjects.
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Few Concepts in details
(Note: To understand the concept clearly, watch our respective 3D animated videos while reading this article as the illustrations are based on that.)
Function
Objective:
In this session we will understand the concept of a function. We have plotted points on a graph paper. The points are given by their co-ordinates. (4, 5), (-5, 4), (-3.5, -4) etc.
We know that the first number gives us the x-coordinate that is, the distance from origin along x-axis and the second number gives us the y- coordinate that is, the distance from origin along y – axis. It is for this reason that if we change the order of numbers, we get a different point. (4, 5) and (5, 4) are two different points. Such an arrangement of pair of numbers where order is to be retained is called an ordered pair.
The cross product of two sets, AxB = {(a, b) I a e A and b e B} To explore all possibilities let us have two sets. Set A with five robots and set B with seven bikes.
Now we pair a robot with the bike matching its color.
Case I:Green robot with Green bike. Blue robot with Blue bike etc. In this case we find that each robot has only one bike to itself.
Case 2: Let the bike with orange color be replaced with a bike of light green color.
Now we find that the robot with Orange color does not have a bike to itself.
Case 3:Take the bikes of light green and purple color and replaced them with orange colored bikes. Matching the sets again.
Now we find that the Orange colored robot has two bikes to itself. Thus we observe that in the first case each robot from set A has a bike to itself, and there are 2 spare bikes. In the second case there is a robot without a matching bike and finally in the third case we have a robot that has more than one matching bike. These conditions lead us to the definition of a function.
A function is a subset of the cross product of two non-empty sets A and B such that every element of set A has a unique image in set B.