00:01
Basically what we have is if you try to do f of negative x and you end up with the same thing as before, then you have an even function.
00:10
Otherwise, if you do f of negative x and you end up with a negative version, then you have an odd.
00:17
And if it's not true for either of those, then it's neither.
00:20
So starting with letter a, where f of x is defined as 2x, negative 2x plus 8.
00:32
That if i try to do f of negative x, all you can do is change the x in the problem to be negative x.
00:38
Well, what i end up with is positive 2x plus 8, which is not the same as the original, nor is it the opposite.
00:48
So this very first one, letter a, would be a neither, because it doesn't equal itself or the opposite, i guess.
00:58
So let's move on to b, which is g of x this time, but that's not even a big.
01:04
Deal is 2x squared minus 3.
01:11
So the thought process on this one is that g of negative x.
01:16
Well, what happens when you replace x with negative x is the moment you square it, you get a positive answer no matter what.
01:23
Well, look at that.
01:25
This is the same as the original.
01:27
So it's the same as the original.
01:30
Not same sign, same everything.
01:33
So this would be an even function...