To calculate the average rate of change over the interval [3,4], we need to find the difference in y-values divided by the difference in x-values.
Point A is at coordinates (3, 15) and point B is at coordinates (4, 21).
The difference in y-values: 21 - 15 = 6
The difference in x-values: 4 - 3 = 1
Average rate of change = Difference in y-values / Difference in x-values
Average rate of change = 6 / 1 = 6
Therefore, the average rate of change over the interval [3,4] is 6.
Use the image to answer the question.A coordinate plane shows a curve labeled f of x. The x-axis ranges from negative 1 to 5 in 1-unit increments. The y-axis ranges from negative 2 to 30 in increments of 2. 2 points are marked on the curve.Calculate the average rate of change over the interval [3,4] of the given graph of the function.(1 point)Responses−16negative 16881616116
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