Question

Use the graph below to answer the following question:

Answer 1

The answer should be c 

Answer 2

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

$A_v=\dfrac{g(b)-g(a)}{b-a}.$

Therefore, the average rate of change of the graphed function from x = 1 to x = 3 is given by

$A_v=\dfrac{f(3)-f(1)}{3-1}=\dfrac{1-(-3)}{3-1}=\dfrac{1+3}{2}=\dfrac{4}{2}=2.$

Thus, the required average rate of change is 2.

Option (C) is CORRECT.