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March 10th, 2016, 05:31 AM   #1
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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?
Attached Images sine wave +x!.jpg (19.2 KB, 11 views) Screen Shot 2016-03-10 at 14.51.39.jpg (20.6 KB, 19 views) Screen Shot 2016-03-10 at 14.43.29.jpg (18.3 KB, 0 views)

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) Tags adding, formulas, graphs, interesting, thing Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post MageKnight Applied Math 0 January 17th, 2013 10:38 PM karpmage Number Theory 4 November 18th, 2012 08:33 PM

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