Graphs are cool because you can make all sorts of different shapes, bends and other stuff like that. But probably my favorite thing about it is that it’s a big challenge and it takes a lot of hard work and a long time. Part of it is also that the equations that you end up making are so complex, and the results are kind of beautiful. Also there are tones of different variables that you can add and change. To me graphing equations is a bit like sculpting or any other art, it takes time, skill, and a lot of hard work.
Another part of graphing is the functions. There are all sorts of different functions to explore and many of them are new to me, so graphing also has a bit of an exploration element to it as well. Also, I find figuring out patterns in statistics fun, for example 2^x can be used to represent the number of binary possibilities for a pin or another similar form of security where x is the number of characters in the pin. I found this after using a method where I put the possibilities side by side and then look at the structure they take. So for this one, I figured out that the possibilities would double since there was same amount of possibilities as the last, except that there were were twice as much as the last. Here are the results for evidence; 1=2, 2=4, 3=8, 4=16, 5=32, 6=64. Also I discovered how this equation is different from x^2; 1=1;1=2, 2=4;2=4, 3=9;3=8, 4=16;4=16, 5=25;5=32, 6=36;6=64.