My Math Forum  

Go Back   My Math Forum > Math Forums > Math

Math General Math Forum - For general math related discussion and news


Reply
 
LinkBack Thread Tools Display Modes
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?
Attached Images
File Type: jpg sine wave +x!.jpg (19.2 KB, 11 views)
File Type: jpg Screen Shot 2016-03-10 at 14.51.39.jpg (20.6 KB, 19 views)
File Type: jpg 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.
potato is offline  
 
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
studiot is offline  
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)
potato is offline  
Reply

  My Math Forum > Math Forums > Math

Tags
adding, formulas, graphs, interesting, thing



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Question on isomorph Graphs and their complement Graphs MageKnight Applied Math 0 January 17th, 2013 10:38 PM
interesting thing I've noted... karpmage Number Theory 4 November 18th, 2012 08:33 PM





Copyright © 2019 My Math Forum. All rights reserved.