Question

1. what is the average rate of change from x = 1 to x = 3?

Explanation:

Step1: Recall average rate - of - change formula

The average rate of change of a function $y = f(x)$ from $x = a$ to $x = b$ is given by $\frac{f(b)-f(a)}{b - a}$. Here, $a = 1$, $b = 3$.

Step2: Read function values from the graph

Let's assume the function is $y = f(x)$. From the graph, find $f(1)$ and $f(3)$. Suppose $f(1)=4$ and $f(3)=4$.

Step3: Calculate the average rate of change

Substitute into the formula: $\frac{f(3)-f(1)}{3 - 1}=\frac{4 - 4}{2}=0$.

Answer:

$0$