For a flat function, we could put any point as a maximum or the minimum point, and we'll see that this would actually be true. But let's dig a little bit deeper as to why f needs to be continuous and why this needs to be a closed interval. So first, let's think about why does f need to be continuous. Well, I could easily construct a function that is not continuous over a closed interval where it is hard to articulate a minimum or a maximum point. And I encourage you, actually, pause this video and try to construct that function on your own. Try to construct a non-continuous function over a closed interval where it would be very difficult, or you can't really pick out an absolute minimum or an absolute maximum value over that interval. Well, let's see.