00:01
So for this one, all we need is a smooth odd function.
00:05
We're just trying to show that that would have an inflection point right at the center.
00:15
So here we use a different color.
00:17
Maybe indicate that there.
00:18
Okay, so if we were to do that here, it's basically what would happen is that, well, we know that if we have an odd function, on the right side it increases, or it could increase, but if it does increase on the right side, then it has symmetry to the origin here, which means it must go decrease down in the opposite direction there.
00:41
And if it does that, we could definitely see that it goes from concave down to concave up, right, at zero.
00:51
So therefore, it has that here.
00:53
And so we could show the other option that we have here with the non -function is that if we have it like this, so another way that we can visualize this here is with.....