Final answer:
To find the average rate of change of g(x) = 3x³ + 7 on the interval [-4,1], subtract the values of g(x) at the endpoints and divide by the difference in x-values.
Step-by-step explanation:
To find the average rate of change of g(x) = 3x³ + 7 on the interval [-4,1], we need to calculate the difference in the values of g(x) at the endpoints of the interval and divide it by the difference in the x-values.
For this problem, we need to find g(1) and g(-4) and subtract the values. Then, we divide this difference by the difference in x-values, which is 1 - (-4) = 5.
So, the average rate of change of g(x) on the interval [-4,1] is the difference in the values, which is g(1) - g(-4), divided by the difference in x-values, which is 5.
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