Make sure you go ahead and plot your point on the graph that you are using dilation means the graph got smaller then the original graph so starting from your original point your going to rotate it on the graph to your new point which is 1/2
For f(-2), x will equal -2.
Plug the x-value into the equation:

A negative exponent means that the term turns into a fraction, with 1 as the numerator and the positive exponent as the denominator.
Solve 2^(-2):

Solve the problem:

f(-2) will equal
1/2.
Answer:
Average rate of change for the function for the interval (6, 12] is 500 people per year.
Option A is correct.
Step-by-step explanation:
We need to find the average rate of change for the function for the interval
(6, 12]
The formula used to calculate Average rate of change is:

We are given a=6 and b=12
Looking at the graph we can see that when x=6 y= 3000 so, f(a)=3000
and when x=12, y=6000 so, f(b)=6000
Putting values in formula and finding Average rate of change:

So, average rate of change for the function for the interval (6, 12] is 500 people per year.
Option A is correct.