Question
The average rate of change is negative over which of the following intervals? (5 points) Responses [-1, 2] [-1, 2] [2, 3] [2, 3] [1, 2] [1, 2] [3, 5] [3, 5]
Answers
GPT-4o mini
To determine the intervals over which the average rate of change is negative, we need to analyze the function's values at the endpoints of each interval. The average rate of change between two points \(a\) and \(b\) for a function \(f\) is given by:
\[
\text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a}
\]
A negative average rate of change means \(f(b) < f(a)\).
To provide a specific answer, we would need to know the function \(f(x)\) you're analyzing. If you can provide the function or more context, I'll be able to help you determine which of the intervals have a negative average rate of change.
\[
\text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a}
\]
A negative average rate of change means \(f(b) < f(a)\).
To provide a specific answer, we would need to know the function \(f(x)\) you're analyzing. If you can provide the function or more context, I'll be able to help you determine which of the intervals have a negative average rate of change.