2.1 Rates of Change and Limits

DEFINE Average Rate of Change over an Interval

The average rate of change of y = f(x) with respect to x over the interval $[x_1, x_2]$ is

$$\frac{\Delta y}{\Delta x} = \frac{f(x_1 + h) - f(x_1)}{h},\quad h \neq 0$$