estimate the average rate of change of the graphed function, over the interval 0 ≤ x ≤ 2.\na 2\nb 3\nc 4\nd 5

Answer:

B. 3

Explanation:

Step1: Recall average - rate - of - change formula

The average rate of change of a function $y = f(x)$ over the interval $[a,b]$ is $\frac{f(b)-f(a)}{b - a}$. Here, $a = 0$, $b = 2$.

Step2: Estimate function values

From the graph, when $x = 0$, $y=f(0)\approx2$. When $x = 2$, $y=f(2)\approx8$.

Step3: Calculate average rate of change

$\frac{f(2)-f(0)}{2 - 0}=\frac{8 - 2}{2}=\frac{6}{2}=3$.