So what do we mean by that? And this is a very, what I just said is not that rigorous, or not rigorous at all, is that, well, think about the point right over here, let's say that's our C. If I can draw the graph at that point, the value of the function at that point without picking up my pencil, or my pen, then it's continuous there. So I could just start here, and I don't have to pick up my pencil, and there you go, I can draw, I can go through that point, so we could say that our function is continuous there. But if I had a function that looked somewhat different than that, if I had a function that looked like this, let's say that it is defined up until then, and then there's a bit of a jump, and then it goes like this, well, this would be very hard to draw, this function would be very hard to draw going through X equals C without picking up my pen. Let's see, my pen is touching the screen, touching the screen, touching the screen, how do I keep drawing this function without picking up my pen? I would have to pick it up, and then move back down here, and so that is an intuitive sense that we are not continuous in this case right over here. But let's actually come up with a formal definition for continuity, and then see if it feels intuitive for us.