Question

complete the table.
$f(n) = 7|n - 2| - 8$

$n$	$f(n)$
$-10$
$0$
$10$

Explanation:

Step1: Substitute n=-20

$$\begin{align*} f(-20)&=7|-20-2|-8\\ &=7|-22|-8\\ &=7\times22 - 8\\ &=154-8\\ &=146 \end{align*}$$

Step2: Substitute n=-10

$$\begin{align*} f(-10)&=7|-10-2|-8\\ &=7|-12|-8\\ &=7\times12 - 8\\ &=84-8\\ &=76 \end{align*}$$

Step3: Substitute n=0

$$\begin{align*} f(0)&=7|0-2|-8\\ &=7|-2|-8\\ &=7\times2 - 8\\ &=14-8\\ &=6 \end{align*}$$

Step4: Substitute n=10

$$\begin{align*} f(10)&=7|10-2|-8\\ &=7|8|-8\\ &=7\times8 - 8\\ &=56-8\\ &=48 \end{align*}$$

Answer:

$n$	$f(n)$
-10	76
0	6
10	48