Question

calculate the average rate of change of a function over a specified interval. which expression can be used to determine the average rate of change in f(x) over the interval 2,9?

Explanation:

Step1: Recall average - rate - of - change formula

The average rate of change of a function $y = f(x)$ over the interval $[a,b]$ is given by $\frac{f(b)-f(a)}{b - a}$.

Step2: Identify $a$ and $b$ values

Here, $a = 2$ and $b = 9$. So the expression for the average rate of change of $f(x)$ over the interval $[2,9]$ is $\frac{f(9)-f(2)}{9 - 2}=\frac{f(9)-f(2)}{7}$.

Answer:

$\frac{f(9)-f(2)}{7}$