The average rate of change of a function, g(x), over an interval [a, b] is given by
Thus, the average rate of change of
over the interval 
is given by:
![Average\ rate\ of\ change= \frac{[-(8)^2-4(8)]-[-(6)^2-4(6)]}{8-6} \\ \\ = \frac{(-64-32)-(-36-24)}{2} = \frac{-96-(-60)}{2} = \frac{-96+60}{2} = \frac{-36}{2} \\ \\ -18](https://tex.z-dn.net/?f=Average%5C%20rate%5C%20of%5C%20change%3D%20%5Cfrac%7B%5B-%288%29%5E2-4%288%29%5D-%5B-%286%29%5E2-4%286%29%5D%7D%7B8-6%7D%20%5C%5C%20%20%5C%5C%20%3D%20%5Cfrac%7B%28-64-32%29-%28-36-24%29%7D%7B2%7D%20%3D%20%5Cfrac%7B-96-%28-60%29%7D%7B2%7D%20%3D%20%5Cfrac%7B-96%2B60%7D%7B2%7D%20%3D%20%5Cfrac%7B-36%7D%7B2%7D%20%20%5C%5C%20%20%5C%5C%20-18)
Thus, the average rate of change of
(20x2 – 12x) + (25x– 15) 4x(5x – 3) + 5(5x – 3)
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