Question
A parabola that opens downward is plotted on a coordinate plane.
Estimate the average rate of change over the interval [5.13,8.77]
.
(1 point)
Estimate the average rate of change over the interval [5.13,8.77]
.
(1 point)
Answers
GPT-4o mini
To estimate the average rate of change of a function \( f(x) \) over an interval \([a, b]\), you can use the formula:
\[
\text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a}
\]
Given the interval \([5.13, 8.77]\), we need the values of \( f(5.13) \) and \( f(8.77) \). Since you didn't provide a specific function for the parabola, I cannot calculate the exact values of \( f(5.13) \) and \( f(8.77) \).
If you have the equation of the parabola, you could substitute \( x = 5.13 \) and \( x = 8.77 \) into that equation to find the corresponding \( f(x) \) values.
Once you provide the function or the \( f(x) \) values at those points, I can help you find the average rate of change.
\[
\text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a}
\]
Given the interval \([5.13, 8.77]\), we need the values of \( f(5.13) \) and \( f(8.77) \). Since you didn't provide a specific function for the parabola, I cannot calculate the exact values of \( f(5.13) \) and \( f(8.77) \).
If you have the equation of the parabola, you could substitute \( x = 5.13 \) and \( x = 8.77 \) into that equation to find the corresponding \( f(x) \) values.
Once you provide the function or the \( f(x) \) values at those points, I can help you find the average rate of change.