Calculate the average rate of change over the interval [3,4] of the given graph of the function. (1 point) Responses −16 negative 16 16 16 116 Start Fraction 1 over 16 End Fraction 8
To calculate the average rate of change over the interval [3,4], we need to find the change in y-values divided by the change in x-values.
The change in y-values is the difference between the y-coordinate at the end of the interval and the y-coordinate at the beginning of the interval. From the graph, we can see that the y-coordinate at x=3 is approximately 116 and the y-coordinate at x=4 is approximately 100.
So, the change in y-values is 100 - 116 = -16.
The change in x-values is the difference between the x-coordinate at the end of the interval and the x-coordinate at the beginning of the interval. In this case, the change in x-values is 4 - 3 = 1.
Therefore, the average rate of change over the interval [3,4] is -16/1 = -16.
So, the correct response is "−16".