To calculate the average rate of change of the function over the interval [3, 4], you can use the formula:
\[ \text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a} \]
where \( a = 3 \) and \( b = 4 \).
From the provided intervals (3, -16) and (4, 20):
- \( f(3) = -16 \)
- \( f(4) = 20 \)
Now plug these values into the formula:
\[ \text{Average Rate of Change} = \frac{20 - (-16)}{4 - 3} \]
\[ = \frac{20 + 16}{1} \]
\[ = \frac{36}{1} = 36 \]
Therefore, the average rate of change over the interval [3, 4] is \( 36 \).
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