what is the average rate of change of f(x) from x1 = 4 to x2 = 7? please write your answer as an integer or…
what is the average rate of change of f(x) from x1 = 4 to x2 = 7? 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 $x_1 = 4$, $f(x_1)=11$; when $x_2 = 7$, $f(x_2)=13$.
Step3: Calculate the average rate of change
Substitute into the formula: $\frac{f(x_2)-f(x_1)}{x_2 - x_1}=\frac{13 - 11}{7 - 4}=\frac{2}{3}$.
Answer:
$\frac{2}{3}$