Question
Which is the best estimate for the average rate of change for the quadratic function graph on the interval 0 ≤ x ≤ 8?
Responses
A −2−2
B −3−3
C 22
D 3
Responses
A −2−2
B −3−3
C 22
D 3
Answers
GPT-4o mini
To estimate the average rate of change of a quadratic function over a specific interval, we need the values of the function at the endpoints of that interval. The average rate of change is calculated using the formula:
\[
\text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a}
\]
where \( f(a) \) and \( f(b) \) are the values of the function at the endpoints \( a \) and \( b \) of the interval \([a, b]\).
Given that our interval is \( 0 \leq x \leq 8 \), we need to know the function \( f(x) \) to compute \( f(0) \) and \( f(8) \). However, since the function isn’t specified in the question, we cannot directly compute the necessary values without additional information.
If you have a specific quadratic function in mind, please provide it, and then I can help calculate the average rate of change for that interval. Otherwise, if this is based on a specific quadratic function that was provided earlier, please refer to it.
\[
\text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a}
\]
where \( f(a) \) and \( f(b) \) are the values of the function at the endpoints \( a \) and \( b \) of the interval \([a, b]\).
Given that our interval is \( 0 \leq x \leq 8 \), we need to know the function \( f(x) \) to compute \( f(0) \) and \( f(8) \). However, since the function isn’t specified in the question, we cannot directly compute the necessary values without additional information.
If you have a specific quadratic function in mind, please provide it, and then I can help calculate the average rate of change for that interval. Otherwise, if this is based on a specific quadratic function that was provided earlier, please refer to it.