For any L between the values of F of A and F of B, there exists a number C in the closed interval from A to B, for which F of C equals L. So there exists at least one C. So in this case, that would be our C. Over here, there's potential, there's multiple candidates for C. That could be a candidate for C. That could be a C. So we could say there exists at least one number, at least one number, I'll throw that in there, at least one number C in the interval for which this is true. And something that might amuse you for a few minutes is try to draw a function where this first statement is true but somehow the second statement is not true. So you say, okay, well, let's assume that there's an L where there isn't a C in the interval. Well, let me try to do that. I'll draw it big so that we can really see how obvious that we have to take on all of the values between F of A and F of B is. So let me draw a big axis this time. So that's my Y axis, and that is my X axis.