Use the image to answer the question.

Question

A coordinate plane for f of x versus x.

Describe the graph of f(x)
by selecting the correct statement.

(1 point)
Responses

The average rate of change is negative only on the interval [6,7]
.
The average rate of change is negative only on the interval left bracket six comma seven 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 [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 [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 .
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Answer 1

Without the specific image of the graph of \( f(x) \) versus \( x \), I can't provide a definitive answer about the average rate of change over the specified intervals. However, I can guide you on how to determine the average rate of change of a function on a given interval:

1. Identify the intervals: Look at the intervals provided: [1, 3], [6, 7], [0, 1], and [3, 4].

2. Calculate the average rate of change: The average rate of change of the function \( f \) on an interval \([a, b]\) can be calculated using the formula: \[ \text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a} \] This equation gives you the slope of the line connecting the points \((a, f(a))\) and \((b, f(b))\).

3. Analyze the results: Determine whether the average rate of change is positive, negative, or zero on those intervals based on the calculated values.

If you can provide additional details or descriptions from the graph, I would be able to help you better assess the average rates of change for the different intervals!