How do the average rates of change for the functions f(x) = 2x2 and g(x) = 3x2 over the interval −3 ≤ x ≤ 4 compare?

The average rate of change for function f(x) over the interval a ≤ x ≤ b is given by :-

So, the rate of change for function  over the interval −3 ≤ x ≤ 4 :

The rate of change for function  over the interval −3 ≤ x ≤ 4 :

So, the rate of change for  g(x) is greater than f(x) over the interval −3 ≤ x ≤ 4.

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step-by-step explanation: