Exercise 7 Page 160

Let's graph $m (x)$ first and then we can compare it to the graph of $f (x) .$

Graphing $m (x)$

To graph the function without going through the entire process of transforming the parent function, we can make a table of values. Then we only need to plot the ordered pairs that we find.

$x$	$∣ x + 1 ∣$	Simplify	$m (x) = ∣ x + 1 ∣$
$- 7$	$∣ - 7 + 1 ∣$	$∣ - 6 ∣$	$6$
$- 5$	$∣ - 5 + 1 ∣$	$∣ - 4 ∣$	$4$
$- 3$	$∣ - 3 + 1 ∣$	$∣ - 2 ∣$	$2$
$- 1$	$∣ - 1 + 1 ∣$	$∣ 0 ∣$	$0$
$1$	$∣ 1 + 1 ∣$	$∣ 2 ∣$	$2$
$3$	$∣ 3 + 1 ∣$	$∣ 4 ∣$	$4$