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)
2	90
4	86
6	82
8	78
10	74

answer

Explanation:

Step1: Identify values for interval

From table: when $x=0$, $f(0)=94$; when $x=6$, $f(6)=82$.

Step2: Apply average rate formula

Formula: $\frac{f(b)-f(a)}{b-a}$. Substitute $a=0, b=6$: $\frac{82-94}{6-0} = \frac{-12}{6} = -2$.

Answer:

-2