Let $\ f(x) = 9 - x^2$.

a) Compute each of the following expressions and interpret each as an average rate of change:

(i) $\ \ \ \frac{f( 1 ) - f(0)}{ 1 - 0} = \$

(ii) $\ \ \frac{f( 3 ) - f( 1 )}{3 - 1 } = \$

(iii) $\ \frac{f( 3 ) - f(0)}{3 - 0} = \$

b) Based on the graph sketched below, match each of your answers in (i) - (iii) with one of the lines labeled A - F. Type the corresponding letter of the line segment next to the appropriate formula. Clearly not all letters will be used.

(click on image to enlarge)

 $\frac{f( 1 ) - f(0)}{ 1 - 0}$ $\frac{f( 3 ) - f( 1 )}{3 - 1 }$ $\frac{f( 3 ) - f(0)}{3 - 0}$