# Math Help - Pre-Calc Even/Odd/Niether function?

1. ## Pre-Calc Even/Odd/Niether function?

Determine if the function is even, odd, or niether...

1-x^2 / 1 + x^2

I have to show my work, too...

thanks.

2. Given $f(x) = \frac{{1 - x^2 }}{{1 + x^2 }}$ if $f(x) = f( - x)$ then the function is even.
Is it?

3. I guess that's the right answer, but how do you KNOW if a function is odd, even, or neither? What do you use?

thanks.

4. Originally Posted by falloutatthedisco
how do you KNOW if a function is odd, even, or neither? What do you use?
$\begin{array}{l}
f(x) = f( - x),\quad \mbox{even} \\
f(x) = - f( - x),\quad \mbox{odd} \\
\mbox{otherwise neither} \\
\end{array}$

5. great, thank you SO much for your help! I understand now.