Graphic for Example 1 Section 2.1. The graph is f(t) = 16t^2, the distance from starting position of an object in free-fall near the surface of the Earth.
Dotted segment slopes are average rates of change on [0,2] (pink), [0,1] (brown), and [1,2] (green), respectively. The point D (red) is movable, and the slope of the red line connecting D and (1,16) is the average rate of change in the time interval between 1 second and the time (first coordinate) at point D. As the point D moves closer to (1,16) from either the left or right, what happens to the slope of the red line?