Ans: The average rate of change of function = [tex] \frac{1}{102} [/tex] (in fraction)
Explanation:
The average rate of change of function = [tex] \frac{f(b) - f(a)}{b - a} [/tex]
Where
b = 8 (x's upper bound)
a = 0 (x's lower bound)
[tex]f(b) = f(8) = \frac{2*8-2}{5*8-6} = \frac{7}{17} \\ f(a) = f(0) = \frac{2*0-2}{5*0-6} = \frac{1}{3} \\ \frac{f(b) - f(a)}{b-a} = \frac{ \frac{7}{17} - \frac{1}{3}}{8} = \frac{1}{102} [/tex]
Hence the average rate of change of function = [tex] \frac{1}{102} [/tex] (in fraction)
