Math Is Fun Forum

pisquared

Member

Registered: 2011-08-25

Posts: 10

Cool Function

I've found a cool function: -|x|^(-|x|)
This function goes in waves over and under the point 0 of the X acces. If you go towards the negative or positive part of the X access the waves get smaller and it looks like in the end it'll be a straight line but it will only get smaller and smaller.

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How many times can you subtract 7 from 83, and what is left afterwards?  You can subtract it as many times as you want, and it leaves 76 every time.  ~Author Unknown

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Cool Function

Hi pisquared;

What did you graph it with?

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

pisquared

Member

Registered: 2011-08-25

Posts: 10

Re: Cool Function

I sketched it in a notebook with a pen.
You probably expected me to tell you a name of a computer programme lol...

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How many times can you subtract 7 from 83, and what is left afterwards?  You can subtract it as many times as you want, and it leaves 76 every time.  ~Author Unknown

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Cool Function

Hi;

Hand methods can be misleading because they cannot sample enough points.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

pisquared

Member

Registered: 2011-08-25

Posts: 10

Re: Cool Function

I know, but I couldn't find a programme that doesn't cost money or actually works with the small details.
Maybe you can recommend one?

Last edited by pisquared (2011-08-25 23:16:19)

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How many times can you subtract 7 from 83, and what is left afterwards?  You can subtract it as many times as you want, and it leaves 76 every time.  ~Author Unknown

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Cool Function

Hi;

Try geogebra.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: Cool Function

here is the graph that wolfram gives:
http://www.wolframalpha.com/input/?i=pl … %28x%29%29

Last edited by anonimnystefy (2011-08-25 23:54:30)

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“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

MathsIsFun

Administrator

Registered: 2005-01-21

Posts: 7,713

Re: Cool Function

Plot of -abs(x)^(-abs(x))

Or put -abs(x)^(-abs(x))-y into: Equation Grapher

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"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

pisquared

Member

Registered: 2011-08-25

Posts: 10

Re: Cool Function

Thanks alot everyone!

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How many times can you subtract 7 from 83, and what is left afterwards?  You can subtract it as many times as you want, and it leaves 76 every time.  ~Author Unknown

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Cool Function

Hi pisquared;

That function is actually rather well behaved. It is easy to numerically integrate it.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

reconsideryouranswer

Member

Registered: 2011-05-11

Posts: 171

Re: Cool Function

"...over and under the point 0 of the

X acces

.
If you go towards the negative or positive part of the

X access

..."

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Signature line:

I wish a had a more interesting signature line.

pisquared

Member

Registered: 2011-08-25

Posts: 10

Re: Cool Function

Sorry, I live in Israel and barely know English.

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How many times can you subtract 7 from 83, and what is left afterwards?  You can subtract it as many times as you want, and it leaves 76 every time.  ~Author Unknown

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Cool Function

Hi pisquared;

That is okay, your English is rather good.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

pisquared

Member

Registered: 2011-08-25

Posts: 10

Re: Cool Function

I'm glad you think that

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How many times can you subtract 7 from 83, and what is left afterwards?  You can subtract it as many times as you want, and it leaves 76 every time.  ~Author Unknown

benice

Member

Registered: 2010-06-10

Posts: 117

Website

Re: Cool Function

I've found a cool function: -|x|^(-|x|)

Hi pisquared,

You are so sick! Me too!

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Cool Function

Hi;

Looks like a hamburger! A delicious one!

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

benice

Member

Registered: 2010-06-10

Posts: 117

Website

Re: Cool Function

Hi;

Looks like a hamburger! A delicious one!

Hi,

The boundary curve is a superellipse: (x/4)^4 + (y/3)^4 = 1.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Cool Function

Hi benice;

Thanks for the info. A superellipse? I never heard of that.
What is it?

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

pisquared

Member

Registered: 2011-08-25

Posts: 10

Re: Cool Function

Hey benice,
Wow! What programme did you use?

and bobbym,
I agree, it looks like a pink delicious hamburger!

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How many times can you subtract 7 from 83, and what is left afterwards?  You can subtract it as many times as you want, and it leaves 76 every time.  ~Author Unknown

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Cool Function

Hi pisquared;

Yes, perhaps a little on the rare side but there is an easy fix for that!

Hi benice;

Did not notice the link to the superellipse page.
Thanks for providing that.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

benice

Member

Registered: 2010-06-10

Posts: 117

Website

Re: Cool Function

Hey benice,
Wow! What programme did you use?

UDAV (universal data array visualization)

It's free!