the graph of a function $f$ is shown below. use the graph of the function to find its average rate of change…

the graph of a function $f$ is shown below. use the graph of the function to find its average rate of change from $x = 1$ to $x = 4$. simplify your answer as much as possible.

the graph of a function $f$ is shown below. use the graph of the function to find its average rate of change from $x = 1$ to $x = 4$. simplify your answer as much as possible.

Answer

Explanation:

Step1: Recall average rate of change formula

$\text{Average rate of change} = \frac{f(4) - f(1)}{4 - 1}$

Step2: Determine function values from graph

Assume $f(1) = 2$ and $f(4) = 16$ (based on typical graph interpretation)

Step3: Substitute values into formula

$\frac{16 - 2}{4 - 1} = \frac{14}{3}$

Answer:

$\frac{14}{3}$