Question

se the average rate of change to describe the graph of f(x) over the interval [1,4] . (1 point) Responses The average rate of change is 13 . The average rate of change is Start Fraction 1 over 2 End Fraction . The average rate of change is 1 . The average rate of change is 1. The average rate of change is 3. The average rate of change is 3. The average rate of change is −13 .

Answer 1

To find the average rate of change of a function \( f(x) \) over the interval \([a, b]\), you can use the formula:

\[ \text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a} \]

In your case, the interval is \([1, 4]\). Therefore, we only need the values of \( f(1) \) and \( f(4) \) to calculate the average rate of change.

However, you haven't provided the function \( f(x) \) or its values at those points. If you can provide those function values, I can help you calculate the average rate of change and find the correct response from the provided options.