Problem 97 of 7
Determine whether the average rate of change over [1,4] is positive, negative, or zero from output rises from 3 to 9.
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interpret overall change across interval.
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Endpoint output comparison must determine sign.
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Your answer is equivalent to the expected form.
Walkthrough
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1. Compare output at the right endpoint to output at the left endpoint.
2. Increase gives positive average rate, decrease gives negative, no net change gives zero.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Using local ups and downs inside interval if endpoints determine average sign.