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 2,0?

Explanation:

Step1: Recall the average - rate - of - change formula

The average rate of change of a function $y = f(x)$ over the interval $[a,b]$ is given by $\frac{f(b)-f(a)}{b - a}$.
Here, $a = 0$, $b = 2$. So the formula for the average rate of change of $f(x)$ over the interval $[0,2]$ is $\frac{f(2)-f(0)}{2 - 0}=\frac{f(2)-f(0)}{2}$.

Answer:

$\frac{f(2)-f(0)}{2}$