function defined in the table below, find the average raction over the interval 3 ≤ x ≤ 4. x f(x) 2 42 3 31…

function defined in the table below, find the average raction over the interval 3 ≤ x ≤ 4. x f(x) 2 42 3 31 4 22 5 15 6 10

function defined in the table below, find the average raction over the interval 3 ≤ x ≤ 4. x f(x) 2 42 3 31 4 22 5 15 6 10

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, $a = 3$, $b = 4$, $f(a)=f(3)=31$, and $f(b)=f(4)=22$.

Step2: Substitute values into formula

$\frac{f(4)-f(3)}{4 - 3}=\frac{22 - 31}{1}$.

Step3: Calculate the result

$\frac{22-31}{1}=-9$.

Answer:

$-9$