A. 12
B. 6
C. -6
D. -12

Answer:
B
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 ] = [ 2, 4 ]
f(b) = f(4) = 16 ← from graph
f(a) = f(2) = 4 ← from graph
average rate of change = [tex]\frac{16-4}{4-2}[/tex] = [tex]\frac{12}{2}[/tex] = 6