Answer:
E
Step-by-step explanation:
The average rate of change of A(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 4, 6 ] , then
f(b) = f(6) = 6² + 2(6) + 3 = 36 + 12 + 3 = 51
f(a) = f(- 4) = (- 4)² + 2(- 4) + 3 = 16 - 8 + 3 = 11 , thus
average rate of change = [tex]\frac{51-11}{6-(-4)}[/tex] = [tex]\frac{40}{10}[/tex] = 4 → E
