
If we try to fold any of the curves on this graph across the yaxis, none of

them are going to map over to themselves. So, they must symmetry across the

yaxis. The same is true of the xaxis when we try it there. Folding them in

half along this line is not going to make points up here match points down here

because they're on opposite sides of the yaxis. So, it looks like neither of

these 2 symmetries applies in the case of odd functions. However, let's look at

these last 2 choices. Maybe one of them works. We know that this is a property

of even functions, that points equidistant from the yaxis have the same y

value. But it doesn't look like this is true of odd functions. If I pick some x

coordinate like 5, and I find the given y coordinate, then finding the opposite

x coordinate, negative 5 does not give me the same y coordinate. It's all the

way down here, instead of up here. However, these y coordinates are related.

This one is the negative version of this one. So that means this last rule is

true.