For the function f(x) = x2, compute each average rate of change:

(a) From 1 to 2

(b) From 1 to 1.5

(c) From 1 to 1.1

(d) From 1 to 1.01

(e) From 1 to 1.001

What do you think is happening to the secant lines?

(h) What is happening to the slopes of the secant lines? Is there some number that they are getting closer to? What is that number?