To determine the intervals where the function \( f(x) \) has a negative average rate of change, you need to look for sections of the graph where the function is decreasing.
- Identify two points on the x-axis of the interval where the function is descending.
- If the line connecting these two points slopes downward, the average rate of change between those points is negative.
Generally, if you have specific coordinates from the graph, you can denote them as \( (x_1, f(x_1)) \) and \( (x_2, f(x_2)) \) where \( f(x_1) > f(x_2) \).
So, if you can analyze the graph or provide the relevant coordinates for the interval you're interested in, you will fill in the blanks as follows:
The average rate of change is negative over the interval \([x_1, x_2]\).
Please check the graph and supply specific values of \( x_1 \) and \( x_2 \) to complete the answer accurately.