Consider the function Below is the graph of $g(x)$ on the axes below. Note: Be sure to decide on an appropriate scale and then clearly indicate that scale on your graph.

a) Evaluate each of the following.
(i)$\dfrac{g(0)-g(-2)}{0-(-2)}$
(ii) $\dfrac{g(-2)-g(-4)}{-2-(-4)}$
(iii) $\dfrac{g(0)-g(-4)}{0-(-4)}$

b) Interpret each as the average rate of change of $g(x)$ over some interval.
(i) $\dfrac{g(0)-g(-2)}{0-(-2)}$ is the average rate of change of $g(x)$ over the interval
(ii) $\dfrac{g(-2)-g(-4)}{-2-(-4)}$ is the average rate of change of $g(x)$ over the interval
(iii) $\dfrac{g(0)-g(-4)}{0-(-4)}$ is the average rate of change of $g(x)$ over the interval

c) For each of the expressions in (i)-(iii) of part (a), choose the graph whose red line has the same slope as the calculated rate of change.

A		B		C

(i) ? A B C
(ii) ? A B C
(iii) ? A B C

Hint: