Question

The function y = f(x) is graphed below. What is the average rate of change of the
function f(x) on the interval 2 <3 < 4?
18
16
14
13
10
10 9 87
6-5-4-3-2-1
2
7 8 9 10
-10
-14
-16
20

Answer 1

Answer:

Average rate of change = 1

Step-by-step explanation:

Average rate of change of a function between x = a and x = b is defined by,

Average rate of change = $\frac{f(b)-f(a)}{b-a}$

We have to find the average rate of change of the function in the interval 2 ≤ x ≤ 4

Therefore, average rate of change of the function = $\frac{f(4) - f(2)}{4-2}$

From the graph attached,

f(4) = 4

f(2) = 2

Average rate of change = $\frac{4-2}{4-2}$

                                        = 1

Therefore, average rate of change of the function in the given interval is 1.