00:01
We are given this table of x values and the corresponding f of x values for some function f, and we have to determine if the function f is even, or if it is odd, or if it is neither.
00:09
I've written out the rules for even an odd in green right here.
00:13
And so now all we have to do is test some different points, some different x values.
00:18
So for the function to be even, we have to have f of negative x equals f of x, which is to say making x negative does not change f of x.
00:26
And if it's odd we have f of negative x equals negative f of x which is to say making x negative also makes f of x negative so let's test some points let's try x as negative four so f of negative four equals negative three and then if we test the positive f of positive four equals positive 3.
00:51
Therefore, since positive 3 and negative 3 are very similar, they're just opposites versions of each other.
00:57
That is, one is positive, one is negative.
01:00
We have fulfilled the requirements for odd...
