based on the graph above, estimate (to one decimal place) the average rate of change from $x = 1$ to $x = 3$.
based on the graph above, estimate (to one decimal place) the average rate of change from $x = 1$ to $x = 3$.
Answer
Explanation:
Step1: Identify function values
From the graph, when $x = 1$, $y\approx9$; when $x = 3$, $y\approx9$.
Step2: Use average - rate - of - change formula
The formula for the average rate of change of a function $y = f(x)$ from $x=a$ to $x = b$ is $\frac{f(b)-f(a)}{b - a}$. Here, $a = 1$, $b = 3$, $f(1)\approx9$, $f(3)\approx9$. So the average rate of change is $\frac{9 - 9}{3 - 1}=\frac{0}{2}=0$.
Answer:
$0.0$