Question

Which statement describes the rate of change of the following function?

Answer 1

@Andras

Answer 2

Well I am not sure how to explain this clearly.
The answer is D.
You have power of
1/3
Lets look at a few powers to see what happens.
(1/3)^1=(1/3)
(1/3)^2=(1/3^2)=1/9
(1/3)^3=1/27
So you can see that as I increase the powers (x) the function takes smaller values.
Lets look at the other side:
(1/3)^0=1
(1/3)^-1=3
(1/3)^-2=9
(1/3)^-3=27

You can see that is way more rapid, that is why the solution is D