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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.
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