Question

Helpp

Answer 1

Answer:

see explanation

Step-by-step explanation:

The average rate of change over the closed interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

here [ a, b ] = [ 0, 8 ]

f(b) = f(8) = $\frac{16-2}{40-6}$ = $\frac{14}{34}$ = $\frac{7}{17}$

f(a) = f(0) = $\frac{-2}{-6}$ = $\frac{1}{3}$

f(b) - f(a) = $\frac{7}{17}$ - $\frac{1}{3}$ = $\frac{4}{51}$

average rate of change = $\frac{\frac{4}{51} }{8}$ = $\frac{1}{102}$