Fun,

with graphs.

I was playing with functions, and thought: “Let’s see, what is the difference between x, x raised to a power of 2 and x raised to a power of 3.”

I drew them and this is what happened.

I know, kinda fun right? (It’s embarrassing. I know the x is wrong. But let’s imagine it being a constant)

Well the first one is constant. Not too much not too little. Just straight face. The second smiley one. The third one is the highest one.

You can see the difference is how fast they got high. No pun intended.

I wanted to see the Side face function.

I did it, muddle a bit with minuses, complicated my way, but finally there it was.

Which one do you think is happier. The 2x one or -2x one?

I still think the 2x one is. Maybe I am biased.

When we were there another revelation came to mind. The minus under the line is the minus area, and over is the plus area. And the symbol before the x, defines where the graph goes.

“Cool” may sound simple. But let take it back to the x² function.

Let’s make it go unhappy.

And even faster.

See, the minus tells you which direction you go. Or the symbol before function tell you the direction.

As you can see my drawing wasn’t great, so I decided to add -1 to make it more true. Still it needs a bit of change of function. Is kinda more to the right. Asymmetric.

That’s all.

Oh, and one last thing. If you want to balance out x² you need an equal opposite to it. Then we have nothing again. Look at the function, even going from side to side it balances out. Plus x to minus x.

In math, they blame it; “Function is symmetric.”

Back to philosophy. Each moment we write x² we create something and only way to make nothing again, is to do the opposite equal. The function however steep it is, when there is minus before it goes in the opposite direction.

I know cool.

How much it goes to positive, or how fast, how curvy that’s another debate. The one that is important is where it goes. Negative or positive.

Biee.