Now, you might recognize that you know that a function is increasing if its derivative is positive. So, before I even look at what the students said, what I would say, my calculus-based justification, and I wouldn't even have to see the graph of h, I would just have to see the graph of h prime, is to say, look, h prime is greater than, h prime is positive when x is greater than zero. If the derivative is positive, then that means that the slope of the tangent line is positive, and that means that the graph of the original function is going to be increasing. Now, let's see whether one of the students said that or what some of the other students wrote. So, can you match the teacher's comments to the justifications? So, one student wrote, the derivative of h is increasing when x is greater than zero. So, it is indeed the case that the derivative is increasing when x is greater than zero, but that's not the justification for why h is increasing.