Question
What is average rate of change of a function on the interval x4, 8
Answers
GPT-4o mini
To find the average rate of change of a function \( f(x) \) on the interval \([x_1, x_2]\), the formula used is:
\[
\text{Average Rate of Change} = \frac{f(x_2) - f(x_1)}{x_2 - x_1}
\]
In your case, the interval is given as \([4, 8]\). This means:
- \( x_1 = 4 \)
- \( x_2 = 8 \)
To calculate the average rate of change, we need the values of the function at these points, \( f(4) \) and \( f(8) \). Once you provide the specific function \( f(x) \), I can help you compute the average rate of change on the interval \([4, 8]\). Please provide the function!
\[
\text{Average Rate of Change} = \frac{f(x_2) - f(x_1)}{x_2 - x_1}
\]
In your case, the interval is given as \([4, 8]\). This means:
- \( x_1 = 4 \)
- \( x_2 = 8 \)
To calculate the average rate of change, we need the values of the function at these points, \( f(4) \) and \( f(8) \). Once you provide the specific function \( f(x) \), I can help you compute the average rate of change on the interval \([4, 8]\). Please provide the function!