Question

given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 0 ≤ x ≤ 6.

x	f(x)
3	25
6	43
9	61

answer attempt 1 out of 3

Explanation:

Step1: Identify interval endpoints

From the table, when $x=0$, $f(0)=7$; when $x=6$, $f(6)=43$.

Step2: Apply average rate formula

Average rate = $\frac{f(6)-f(0)}{6-0} = \frac{43-7}{6} = \frac{36}{6} = 6$.

Answer:

6