To determine the interval where the function has a negative average rate of change, you would typically look for consecutive endpoints on the graph where the function's values decrease.
The average rate of change of a function \( f \) over an interval \([a, b]\) is given by the formula:
\[ \text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a} \]
If this value is negative, it indicates that \( f(b) < f(a) \), meaning the function is decreasing over that interval.
To provide a precise interval \([a, b]\), you would need the specific endpoints from the graph you are referencing. Once identified, you can plug the endpoint values into the formula to verify whether the change is negative.
If you can provide the specific endpoints or additional details about the graph, I can help you specify the interval with a negative average rate of change.