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March 10th, 2016, 05:31 AM  #1 
Newbie Joined: Mar 2016 From: Earth Posts: 4 Thanks: 0  Interesting thing about graphs (adding x! to formulas)
I was just playing with a graph drawing software and noticed something very interesting. The graph of y = x! , when going further into negative X, turned into a straight line with infinitely long vertical lines coming out of it to both positive and negative Y at every whole number. Basically it turned into the graph of the formula y = 0, with these vertical lines. This formula can be seen as y = 0 + x! And what if 0 is replaced with something else? The graph looks like whatever formula I put there, but with these vertical lines coming out of this line! Just try some formulas and see it yourself! $\displaystyle y=x+x!$ $\displaystyle y=x^2+x!$ $\displaystyle y=1/x+x!$ $\displaystyle y=\sin(x)+x!$ $\displaystyle y=\sqrt{x}+x!$ Blue: $\displaystyle y=\sin(x)$ Black: $\displaystyle y=\sin(x)+x!$ Fun thing, isn't it? Last edited by skipjack; March 11th, 2016 at 06:50 AM. 
March 10th, 2016, 06:06 AM  #2 
Senior Member Joined: Jun 2015 From: England Posts: 915 Thanks: 271 
You can certainly pick out the gamma function in this. https://www.google.co.uk/search?hl=e...01.40EVO9cDzKE 
March 10th, 2016, 07:55 AM  #3 
Newbie Joined: Mar 2016 From: Earth Posts: 4 Thanks: 0 
yeah right! And because the Y of most points in the y=x! function tends to 0, adding any formula to it will make it look like that formula except for the parts where it goes off to infinity. (and negative infinity)


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