which expression can be used to determine the average rate of change in f(x) over the interval 2,9?\no f(9…

which expression can be used to determine the average rate of change in f(x) over the interval 2,9?\no f(9 - 2)\no f(9) - f(2)\no $\frac{f(9 - 2)}{9 - 2}$

which expression can be used to determine the average rate of change in f(x) over the interval 2,9?\no f(9 - 2)\no f(9) - f(2)\no $\frac{f(9 - 2)}{9 - 2}$

Answer

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 $\frac{f(b)-f(a)}{b - a}$. Here, $a = 2$ and $b=9$.

Step2: Substitute values into formula

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

Answer:

None of the given options are correct. The correct expression for the average rate of change of $f(x)$ over the interval $[2,9]$ is $\frac{f(9)-f(2)}{9 - 2}$.