Answer:
29
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 ] = [ 0, 3 ], thus
f(b) = f(3) = 4(3)³ - 3(3)² + 2(3) - 1 = 108 - 27 + 6 - 1 = 86
f(a) = f(0) = - 1, thus
average rate of change = [tex]\frac{86-(-1)}{3-0}[/tex] = [tex]\frac{87}{3}[/tex] = 29
