To estimate the average rate of change between \( x = 3.1 \) and \( x = 5.89 \), we need to know the function whose average rate of change we are calculating. The average rate of change of a function \( f(x) \) over the interval \( [a, b] \) is given by the formula:
\[ \text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a} \]
Substituting \( a = 3.1 \) and \( b = 5.89 \):
\[ \text{Average Rate of Change} = \frac{f(5.89) - f(3.1)}{5.89 - 3.1} \]
Without the function \( f(x) \), we cannot compute the average rate of change. If you provide the function or the values \( f(3.1) \) and \( f(5.89) \), I can calculate the average rate of change for you.
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