calculate the average rate of change of a function over a specified interval. which expression can be used…

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?

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?

Answer

Answer:

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

Explanation:

Step1: Recall the formula

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

Step2: Identify $a$ and $b$

Here $a = 2$ and $b=9$.

Step3: Substitute values

Substituting $a = 2$ and $b = 9$ into the formula, we get $\frac{f(9)-f(2)}{9 - 2}$.