Answer:
g has an average rate of change of zero at the intervals [-5,4] and [-2,2]
Explanation:
When we talk of the average rate of change, we mean the change in y values divided by the change in x values
Once the change in y-values is zero, then over that interval, the average rate of change is zero
at the point t =- 5, g(t) = 6; at the point t = 4, g(t) = 6
As we can see here, within the interval [-5,4]; the average rate of change is 0
This same pattern is repetitive at points or ranges where we have same values for g(t)
such as;
[-2,2]