Question

given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 4 ≤ x ≤ 8.
x | f(x)
0 | 11
4 | 13
8 | 15
12 | 17

Explanation:

Step1: Identify values for interval

From table: when $x=4$, $f(4)=13$; when $x=8$, $f(8)=15$.

Step2: Apply average rate formula

Formula: $\frac{f(b)-f(a)}{b-a}$ where $a=4$, $b=8$.
Calculate: $\frac{15-13}{8-4} = \frac{2}{4} = \frac{1}{2}$.

Answer:

$\frac{1}{2}$