what is the average rate of change of f(x) from x1 = 4 to x2 = 9? please write your answer as an integer or…
what is the average rate of change of f(x) from x1 = 4 to x2 = 9? please write your answer as an integer or simplified fraction.
Answer
Explanation:
Step1: Recall average - rate - of - change formula
The average rate of change of a function $y = f(x)$ from $x_1$ to $x_2$ is given by $\frac{f(x_2)-f(x_1)}{x_2 - x_1}$.
Step2: Identify $f(x_1)$ and $f(x_2)$ from the graph
When $x_1 = 4$, from the graph $f(x_1)=13$. When $x_2 = 9$, from the graph $f(x_2)=17$.
Step3: Calculate the average rate of change
Substitute into the formula: $\frac{f(9)-f(4)}{9 - 4}=\frac{17 - 13}{9 - 4}=\frac{4}{5}$.
Answer:
$\frac{4}{5}$