Answer:
234
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, 6 ] , then
f(b) = f(6) = [tex]3^{6}[/tex] + 17 = 729 + 17 = 746
f(a) = f(3) = 3³ + 17 = 27 + 17 = 44 , then
average rate of change = [tex]\frac{746-44}{6-3}[/tex] = [tex]\frac{702}{3}[/tex] = 234
