Question
What is the average rate of change of a function on the interval x:[4,8] ? (1 point) Responses 4 11 12 3
image shows f(x) being located at what seems to be 12.7, 7.1
image shows f(x) being located at what seems to be 12.7, 7.1
Answers
GPT-4o mini
To find the average rate of change of a function \( f(x) \) on the interval \( [4, 8] \), we use the formula:
\[
\text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a}
\]
where \( a = 4 \) and \( b = 8 \).
From your description, it appears that \( f(4) \) is approximately 12.7 and \( f(8) \) is approximately 7.1. Therefore:
- \( f(4) \approx 12.7 \)
- \( f(8) \approx 7.1 \)
Now, substituting into the formula:
\[
\text{Average Rate of Change} = \frac{7.1 - 12.7}{8 - 4} = \frac{-5.6}{4} = -1.4
\]
It looks like this doesn't directly correspond to the options provided: 4, 11, 12, 3.
Please double-check the values for \( f(4) \) and \( f(8) \) or clarify the context if necessary, to ensure the data is accurate for calculation or to see if there's a misunderstanding in what you're looking to find.
\[
\text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a}
\]
where \( a = 4 \) and \( b = 8 \).
From your description, it appears that \( f(4) \) is approximately 12.7 and \( f(8) \) is approximately 7.1. Therefore:
- \( f(4) \approx 12.7 \)
- \( f(8) \approx 7.1 \)
Now, substituting into the formula:
\[
\text{Average Rate of Change} = \frac{7.1 - 12.7}{8 - 4} = \frac{-5.6}{4} = -1.4
\]
It looks like this doesn't directly correspond to the options provided: 4, 11, 12, 3.
Please double-check the values for \( f(4) \) and \( f(8) \) or clarify the context if necessary, to ensure the data is accurate for calculation or to see if there's a misunderstanding in what you're looking to find.
I cant tell what the exact coordinates are. what does it have to be to match any of the options