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
16
16
8
8
116
Start Fraction 1 over 16 End Fraction
−16
The average rate of change is defined as the change in y-values divided by the change in x-values over the given interval.
So, for the interval [3,4], we have:
Change in y-values: f(4) - f(3) = 24 - 8 = 16
Change in x-values: 4 - 3 = 1
Average rate of change = (Change in y-values)/(Change in x-values) = 16/1 = 16
Therefore, the average rate of change over the interval [3,4] of the given graph of the function is 16.