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Use the image to answer the question. Describe the graph of f(x) by selecting the correct statement. (1 point) Responses The average rate of change is negative on the interval [0,1] and on the interval [3,4] . The average rate of change is negative on the interval left bracket 0 comma 1 right bracket and on the interval left bracket 3 comma 4 right bracket . The average rate of change is negative only on the interval [1,3] . The average rate of change is negative only on the interval left bracket 1 comma 3 right bracket . The average rate of change is negative on the interval [1,3] and also on the interval [6,7] . The average rate of change is negative on the interval left bracket 1 comma 3 right bracket and also on the interval left bracket 6 comma 7 right bracket . The average rate of change is negative only on the interval [6,7] .

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To accurately describe the graph of \( f(x) \), I would need to review the specific image you mentioned. Without being able to see the graph, I can’t provide a precise answer regarding the intervals where the average rate of change is negative.

However, I can guide you on how to determine the average rate of change on intervals:

  1. Identify the behavior of the graph: Look for where the graph is decreasing. The average rate of change is negative when the function value decreases as you move from left to right on the graph.

  2. Analyze the given intervals: Examine each interval [a, b] mentioned in the options:

    • If \( f(b) < f(a) \), then the average rate of change on that interval is negative.

Based on the provided responses, you would need to check the intervals against the graph to determine in which intervals the average rate of change is negative. If you can describe the graph or share specific points or trends, I’d be able to help you analyze it more effectively!