And so you could keep drawing some 0's between the two 1's, but there is no absolute minimum value there. Now let's think about why it being a closed interval matters, why you have to include your endpoints as kind of candidates for your maximum and minimum values over the interval. Well, let's imagine that it was an open interval. Let's imagine an open interval. And sometimes if we want to be particular, we could make this is the closed interval right over here, brackets. And if we want to do an open interval right over here, that's a, that's b. And let's just pick a very simple function.