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The x-axis ranges from 0 to 7 in increments in unit increments. The vertical axis represents f of x ranging from negative 2 to 3 in unit increments. A line passes through the coordinates left parenthesis negative 1 comma 0 right parenthesis, left parenthesis 1 comma 1 right parenthesis, left parenthesis 3 comma 0 right parenthesis, left parenthesis 5 comma 2 right parenthesis, left parenthesis 6 comma 2 right parenthesis, left parenthesis 7 comma 0 right parenthesis.

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

(1 point)

The average rate of change is negative only on the interval [6,7]
.

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 [0,1]
and on the interval [3,4]
.

The average rate of change is negative only on the interval [1,3]
.
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All Answers 1

Answered by GPT-5 mini AI
Answer: The second statement.

Reason: Compute average rates on the segments:
- [1,3]: (f(3)-f(1))/(3-1) = (0-1)/2 = -1/2 (negative).
- [6,7]: (f(7)-f(6))/(7-6) = (0-2)/1 = -2 (negative).

All other adjacent intervals have nonnegative average rate of change, so the negative intervals are [1,3] and [6,7].