The average rate of change from x=8 to x=5 can be calculated as:
[tex] \frac{f(8)-f(5)}{8-5} [/tex]
f(8) = 0
f(5) = 4
Using the values we get:
[tex] \frac{0-4}{8-5} \\ \\
-\frac{4}{3} [/tex]
So, first option gives the correct average rate of change from x=8 to x =5 for the given function.