consider the graph of f shown below.\nestimate the average rate of change from x = 2 to x = 5.

Explanation:

Step1: Identify function - values

From the graph, $f(2)\approx1$, $f(5)\approx7$.

Step2: Apply average - rate formula

The average rate of change formula is $\frac{f(b)-f(a)}{b - a}$. Here $a = 2$, $b = 5$. So $\frac{f(5)-f(2)}{5 - 2}=\frac{7 - 1}{3}$.

Step3: Calculate the result

$\frac{7 - 1}{3}=\frac{6}{3}=2$.

Answer:

2