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 ≤ 5.

x	f(x)
4	9
5	27
6	81

Explanation:

Step1: Identify values for x=4 and x=5

From the table: when $x=4$, $f(4)=9$; when $x=5$, $f(5)=27$.

Step2: Apply average rate formula

Average rate = $\frac{f(5)-f(4)}{5-4} = \frac{27-9}{1} = 18$

Answer:

18