the graph of a function h is shown below. use the graph of the function to find its average rate of change…
the graph of a function h is shown below. use the graph of the function to find its average rate of change from x = 0 to x = 3. simplify your answer as much as possible.
Answer
Answer:
2
Explanation:
Step1: Recall average - rate - of - change formula
The average rate of change of a function $y = h(x)$ from $x=a$ to $x = b$ is $\frac{h(b)-h(a)}{b - a}$. Here, $a = 0$, $b = 3$.
Step2: Determine $h(0)$ and $h(3)$ from the graph
From the graph, when $x = 0$, $h(0)=2$; when $x = 3$, $h(3)=8$.
Step3: Calculate the average rate of change
Substitute into the formula: $\frac{h(3)-h(0)}{3 - 0}=\frac{8 - 2}{3}=\frac{6}{3}=2$.