How do the average rates of change for the pair of functions compare over the given​ interval? f(x)=−9x2
​g(x)=−36x2
−4≤x≤

Answer Box: The average rate of change of​ f(x) over −4≤x≤−2 is . The average rate of change of​ g(x) over −4≤x≤−2 is . The average rate of change of​ g(x) is times that of​ f(x).