Average rate of change calculation for a quadratic function over a given interval.

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Problem

Average rate of change calculation for a quadratic function over a given interval.

Step-by-step solution

Using the interval $[-2, 0]$, we have $a=-2$ and $b=0$. From the table, $f(-2)=0$ and $f(0)=8$. The average rate of change is $\frac{f(0)-f(-2)}{0-(-2)} = \frac{8-0}{0+2} = \frac{8}{2} = 4$.

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Answer

4