Question

Use the graph below to answer the following question:

What is the average rate of change from x = 1 to x = 3?

A.) −4
B.) −2
C.) 2
D.) 4

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=(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=(f(3)-f(1))/(3-1)=(1-(-3))/(3-1)=(1+3)/(2)=(4)/(2)=2.`

Thus, the required average rate of change is 2.

Option (C) is CORRECT.