Answer:
2
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, 2 ], thus
f(b) = f(2) = -(2)² + 4)(2) + 2 = - 4 + 8 + 2 = 6
f(a) = f(0) = 2
average rate of change = [tex]\frac{6-2}{2-0}[/tex] = [tex]\frac{4}{2}[/tex] = 2
