Now let's think about our little conundrum with this question right over here. Why is there not a point c for which f prime of c is equal to the average rate of change? And you can even verify that for yourself because from negative four to zero, our slope is positive. We have a positive slope here. And then the slope just jumps down to negative two. It just jumps down to negative two, which is a much more negative slope than this. So it never goes to negative two sevenths.