Question
Which is the best estimate for the average rate of change for the quadratic function graph on the interval 0 ≤ x ≤ 4?
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GPT-4o mini
To find the average rate of change of a quadratic function \( f(x) \) over the interval \( [0, 4] \), you would typically use the formula:
\[
\text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a}
\]
In this case, \( a = 0 \) and \( b = 4 \). You would need the values of the function at these endpoints, \( f(0) \) and \( f(4) \).
If you provide the specific quadratic function, I can help you calculate the average rate of change. If you're looking for a general approach or a numerical estimate based on the graph, please share any additional details or values available about the function.
\[
\text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a}
\]
In this case, \( a = 0 \) and \( b = 4 \). You would need the values of the function at these endpoints, \( f(0) \) and \( f(4) \).
If you provide the specific quadratic function, I can help you calculate the average rate of change. If you're looking for a general approach or a numerical estimate based on the graph, please share any additional details or values available about the function.
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