record: 203 score: 202 select value of the twice differentiable function f and its derivative are shown in…

record: 203 score: 202 select value of the twice differentiable function f and its derivative are shown in the table below. what is the average rate of change of f from x = 0 to x = 5? x 0 3 5 7 f(x) 1 13 17 25 f(x) 4 3 6 2 2/5 16/5 16 2

record: 203 score: 202 select value of the twice differentiable function f and its derivative are shown in the table below. what is the average rate of change of f from x = 0 to x = 5? x 0 3 5 7 f(x) 1 13 17 25 f(x) 4 3 6 2 2/5 16/5 16 2

Answer

Answer:

$\frac{16}{5}$

Explanation:

Step1: Recall average - rate - of - change formula

The average rate of change of a function $y = f(x)$ from $x=a$ to $x = b$ is given by $\frac{f(b)-f(a)}{b - a}$.

Step2: Identify $a$, $b$, $f(a)$ and $f(b)$

Here, $a = 0$, $b = 5$, $f(0)=1$, $f(5)=17$.

Step3: Calculate the average rate of change

Substitute the values into the formula: $\frac{f(5)-f(0)}{5 - 0}=\frac{17 - 1}{5}=\frac{16}{5}$.