# Thread: Odd or even function

1. ## Odd or even function

My minds gone blank lol

f(t) = pi*t - t^2

thanks

2. Originally Posted by adam_leeds
My minds gone blank lol

f(t) = pi*t - t^2

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

$f(t) = \pi t - t^2$

$f(-t) = -\pi t - (-t)^2$

$= -\pi t - t^2$

$\neq f(t)$.

So the function is not even.

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

$f(-t) = -\pi t - t^2$

$= -(\pi t + t^2)$

$\neq -f(t)$.

So the function is not odd.

This function is neither odd nor even.