Answer:
B
Step-by-step explanation:
The average rate of change of f(x) in the close interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 0, 2 ]
f(b) = f(2) = 2² = 4
f(a) = f(0) = [tex]2^{0}[/tex] = 1, thus
average rate of change = [tex]\frac{4-1}{2-0}[/tex] = [tex]\frac{3}{2}[/tex] → B
