Answer: The correct option is (C) 2.
Step-by-step explanation: We are given to find the average rate of change of the given graph from x = 1 to x = 3.
Let the graphed function be denote by y = f(x).
From the graph, we note that
f(1) = -3 and f(3) = 1.
We know that
the average rate of change of a function g(x) from x = a to x = b is given by
[tex]A_v=\dfrac{g(b)-g(a)}{b-a}.[/tex]
Therefore, the average rate of change of the graphed function from x = 1 to x = 3 is given by
[tex]A_v=\dfrac{f(3)-f(1)}{3-1}=\dfrac{1-(-3)}{3-1}=\dfrac{1+3}{2}=\dfrac{4}{2}=2.[/tex]
Thus, the required average rate of change is 2.
Option (C) is CORRECT.
