Answer: B) rate of change of f(x) > rate of change of g(x)
Step-by-step explanation:
f(x) = 2ˣ
f(2) = 2² = 4 --> (2, 4)
f(3) = 2³ = 8 --> (3, 8)
rate of change (aka slope) of f(x):
[tex]\dfrac{8-4}{3-2}=\dfrac{4}{1}=\large\boxed{4}[/tex]
g(x) = 2x (graph)
g(2) = 4
g(3) = 6
rate of change (aka slope) of g(x):
[tex]\dfrac{6-4}{3-2}=\dfrac{2}{1}=\large\boxed{2}[/tex]
