Question

given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 3 ≤ x ≤ 5.

x	f(x)
3	6
4	18
5	54
6	162

Explanation:

Step1: Identify interval values

From table: when $x=3$, $f(3)=6$; when $x=5$, $f(5)=54$.

Step2: Apply average rate formula

Formula: $\frac{f(b)-f(a)}{b-a}$ where $a=3$, $b=5$.
Calculate: $\frac{54-6}{5-3} = \frac{48}{2} = 24$.

Answer:

24