Question

Use the image to answer the question.

A graph shows an increasing function that curves upward in quadrant one. The horizontal axis is labeled x and the vertical axis is labeled y.
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What is the average rate of change of the function graphed on the interval x:[1,3]
?

(1 point)
Responses

26
26

6
6

13
13

−1

negative 1

Answer 1

Average rate of change = (f(3) − f(1)) / (3 − 1).

From the graph (cubic-like), f(1) = 1 and f(3) = 27, so (27 − 1) / 2 = 26/2 = 13.

Answer: 13.