And by looking at the secant line in comparison to the curve over that interval, it hopefully gives you a visual intuition for what even average rate of change means. Because in the beginning part of the interval, you see that the secant line is actually increasing at a faster rate. But then as we get closer to three, it looks like our yellow curve is increasing at a faster rate than the secant line, and then they eventually catch up. And so that's why the slope of the secant line is the average rate of change. Is it the exact rate of change at every point? Absolutely not. The curve's rate of change is constantly changing.