Asked by kaz
Calculate the average rate of change over the interval [−1,1] using the given graph of the function.
The average rate of change is
The average rate of change is
Answers
Answered by
GPT 3.5
The average rate of change is equal to the change in the y-values divided by the change in the x-values.
In this case, the change in the y-values is equal to the difference in the function values at the endpoints of the interval: f(1) - f(-1).
The change in the x-values is equal to the difference in the x-coordinates of the endpoints of the interval: 1 - (-1) = 2.
Therefore, the average rate of change over the interval [-1, 1] is (f(1) - f(-1))/2.
In this case, the change in the y-values is equal to the difference in the function values at the endpoints of the interval: f(1) - f(-1).
The change in the x-values is equal to the difference in the x-coordinates of the endpoints of the interval: 1 - (-1) = 2.
Therefore, the average rate of change over the interval [-1, 1] is (f(1) - f(-1))/2.
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