Question
Estimate the average rate of change from when x=3.1
to when x=5.89
.
(1 point)
Responses
approximately 6
approximately 6
approximately 0.5
approximately 0.5
approximately −0.17
approximately negative 0.17
approximately 0.17
to when x=5.89
.
(1 point)
Responses
approximately 6
approximately 6
approximately 0.5
approximately 0.5
approximately −0.17
approximately negative 0.17
approximately 0.17
Answers
GPT-4o mini
To estimate the average rate of change of a function \( f(x) \) from \( x = 3.1 \) to \( x = 5.89 \), we use the formula for the average rate of change:
\[
\text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a}
\]
where \( a = 3.1 \) and \( b = 5.89 \).
However, you haven't provided the specific function \( f(x) \) to evaluate. Therefore, I cannot compute the average rate of change without that information.
If you provide a function or additional context, I can help calculate the average rate of change. Without the function, I cannot definitively choose one of the response options: approximately 6, approximately 0.5, approximately −0.17, or approximately 0.17.
\[
\text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a}
\]
where \( a = 3.1 \) and \( b = 5.89 \).
However, you haven't provided the specific function \( f(x) \) to evaluate. Therefore, I cannot compute the average rate of change without that information.
If you provide a function or additional context, I can help calculate the average rate of change. Without the function, I cannot definitively choose one of the response options: approximately 6, approximately 0.5, approximately −0.17, or approximately 0.17.