Compiling LaTeX code online

ragabonds · #1 $Old$ February 8th, 2009, 10:20 AM

Hey,

I'm just going to use this to do some mathematics to send to a very special person

, basically hogging your equation software thing. Just to make it useful, I'll explain what is to be done.

Basically what we're doing here is finding out if a function is even or odd.

If $f(-x) = -f(x)$ then the function is odd.

If $f(-x) = f(x)$ then the function is even.

If $f(-x) \neq f(x)$ or $f(-x) \neq -f(x)$ then the function is neither even or odd.

An example:

Say we have
$f(x) = x^2/\sqrt{x^2-1}$

To find out if it's odd or even we find $f(-x)$

Which is
$f(-x) = (-x)^2/\sqrt{(-x)^2-1}$
so

$f(-x) = x^2/\sqrt{x^2-1}$

which means

$f(-x) = f(x)$

So that means the function
$f(x) = x^2/\sqrt{x^2-1}$

Is even because $f(-x) = f(x)$

Jhevon · #2 $Old$ February 10th, 2009, 08:17 PM

Quote:

Originally Posted by ragabonds $View Post$

Hey,

I'm just going to use this to do some mathematics to send to a very special person

, basically hogging your equation software thing. Just to make it useful, I'll explain what is to be done.

Basically what we're doing here is finding out if a function is even or odd.

If $f(-x) = -f(x)$ then the function is odd.

If $f(-x) = f(x)$ then the function is even.

If $f(-x) \neq f(x)$ or $f(-x) \neq -f(x)$ then the function is neither even or odd.

An example:

Say we have
$f(x) = x^2/\sqrt{x^2-1}$

To find out if it's odd or even we find $f(-x)$

Which is
$f(-x) = (-x)^2/\sqrt{(-x)^2-1}$
so

$f(-x) = x^2/\sqrt{x^2-1}$

which means

$f(-x) = f(x)$

So that means the function
$f(x) = x^2/\sqrt{x^2-1}$

Is even because $f(-x) = f(x)$

you don't to use a forum for this. there are tons of sites on the net that will compile LaTeX code for you, for free. you can even have correspondence between persons once they have a link to the page. see MathBin.net - Math pastebin for equation rendering for instance