Question

Plz help me with this

Answer 1

Answer: B) rate of change of f(x) > rate of change of g(x)

Explanation:

f(x) = 2ˣ

f(2) = 2² = 4 --> (2, 4)

f(3) = 2³ = 8 --> (3, 8)

rate of change (aka slope) of f(x):

`(8-4)/(3-2)=(4)/(1)=\large\boxed{4}`

g(x) = 2x (graph)

g(2) = 4

g(3) = 6

rate of change (aka slope) of g(x):

`(6-4)/(3-2)=(2)/(1)=\large\boxed{2}`