Functions are a very common thing in mathematics. They are a very accurate way to describe the behaviour of various things. Now it is also possible to make graphical representations of functions. Functions with one variable are rather easy to draw. You insert a value in the function and look what results comes out. This gives you the coordinates of a point in a plane.
All you need to do is to repeat this with as many points as possible. Sometimes you might even find very surprising results... As you will notice with the following functions. Notice that the graphs are always composed of two functions, where one function usually represents the lower part and the other the top part.




So did I promise too much? Would would have believed that behind simple functions could be hidden a message which cannot be misinterpreted. Maybe that's what makes mathematics so beautiful. On the one side you have those cryptic formulae which seem to behold a million unknown mysteries and once you start looking at these formulae, they reveal step by step parts of the secrets, keeping the suspense continuously at a very high level. It can take very long to find out every secret of a formula. But once you have achieved your goal, it gives you a feeling of happiness and self-confidence which can't be found anywhere else.




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