Question

The graph of a function fis shown below.Use the graph of the function to find its average rate of change from x = 2 to x = 5 . Simplify your answer as much as possible.

Answer 1

Solution

Step 1:

To determine average rate of change from x = 2 to x = 5 .

Determine the corresponding values of y.

Step 2:

Find the rate of change from (2, -1) and (5 , 2)

$\begin{gathered} Avearge\text{ rate of change = }\frac{2\text{ - \lparen-1\rparen}}{5\text{ - 2}} \\ =\text{ }\frac{2\text{ + 1}}{3} \\ =\text{ }\frac{3}{3} \\ =\text{ 1} \end{gathered}$

Final answer

The average rate of change = 1