Exercise 58 Page 162

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

Graph

Let's begin with creating a table of values for $c (x) .$

$x$	$4 ∣ x + 3 ∣ - 1$	Simplify	$c (x)$
$- 5$	$4 ∣ - 5 + 3 ∣ - 1$	$4 ∣ - 2 ∣ - 1$	$7$
$- 4$	$4 ∣ - 4 + 3 ∣ - 1$	$4 ∣ - 1 ∣ - 1$	$3$
$- 3$	$4 ∣ - 3 + 3 ∣ - 1$	$4 ∣ 0 ∣ - 1$	$- 1$
$- 1$	$4 ∣ - 1 + 3 ∣ - 1$	$4 ∣ 2 ∣ - 1$	$7$