Check if the function is odd or even

1. Dec 20, 2008

transgalactic

2. Dec 20, 2008

Hootenanny

Staff Emeritus
These questions aren't always straight forward, you need to understand how the functions behave. Let's consider the first case:

So you have

$$f\left(-x\right) = \log\left(\frac{1+x}{1-x}\right) = \log\left(\frac{1-x}{1+x}\right)^{-1} = - \log\left(\frac{1-x}{1+x}\right) = -f\left(x\right)$$

Do you follow?

3. Dec 20, 2008

HallsofIvy

Staff Emeritus
And, of course, most functions are neither even nor odd.

4. Dec 20, 2008

thanks