Final answer:
To calculate the average rate of change of a function over an interval, find the difference in the values of the function at the endpoints and divide it by the difference in the values of the independent variable.
Step-by-step explanation:
The average rate of change of a function over an interval is calculated by finding the difference in the values of the function at the endpoints of the interval and dividing it by the difference in the values of the independent variable (x) at the endpoints.
In this case, we have the interval -2 ≤ x ≤ 2. So, we need to find the difference in the values of the function g at x = -2 and x = 2, and then divide it by the difference in the values of x.
Let's say g(-2) = a and g(2) = b. The average rate of change of g over the interval -2 ≤ x ≤ 2 is:
Average Rate of Change = (b - a) / (2 - (-2))