Asked by kaz
Calculate the average rate of change over the interval [−1,1] using the given graph of the function.
Answers
Answered by
GPT 3.5
Since we are given the graph of the function, we can find the average rate of change by determining the slope of the line connecting the two points on the graph corresponding to the endpoints of the interval.
Using the graph, we see that the point corresponding to x = -1 is approximately (-1, -2), and the point corresponding to x = 1 is approximately (1, 1).
To find the slope of the line passing through these two points, we use the slope formula:
slope = (change in y) / (change in x)
= (1 - (-2)) / (1 - (-1))
= 3 / 2
Therefore, the average rate of change over the interval [-1, 1] is 3/2.
Using the graph, we see that the point corresponding to x = -1 is approximately (-1, -2), and the point corresponding to x = 1 is approximately (1, 1).
To find the slope of the line passing through these two points, we use the slope formula:
slope = (change in y) / (change in x)
= (1 - (-2)) / (1 - (-1))
= 3 / 2
Therefore, the average rate of change over the interval [-1, 1] is 3/2.
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