Answer:
A
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 3, 5 ] , thus
f(b) = f(5) = - 26 ← value of y for x = 5 from table
f(a) = f(3) = - 10 ← value of y for x = 3 from table
average rate of change = [tex]\frac{-26-(-10)}{5-3}[/tex] = [tex]\frac{-16}{2}[/tex] = - 8 → A
