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
−16
negative 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 difference in y-values divided by the difference in x-values.
Let the points at x=3 be (3,9) and x=4 be (4,25).
Change in y = 25 - 9 = 16
Change in x = 4 - 3 = 1
Average rate of change = Change in y / Change in x
Average rate of change = 16 / 1
Average rate of change = 16
So, the average rate of change over the interval [3,4] is 16.