Graphing Absolute Value Functions

In order to graph the given absolute value function, we can make a table of values.

$x$	$f (x) = 2 ∣ x ∣ - 2$	Simplified Absolute Value	$f (x)$
$- 6$	$f (- 6) = 2 ∣ - 6 ∣ - 2$	$f (- 6) = 2 (6) - 2$	$10$
$- 4$	$f (- 4) = 2 ∣ - 4 ∣ - 2$	$f (- 4) = 2 (4) - 2$	$6$
$- 2$	$f (- 2) = 2 ∣ - 2 ∣ - 2$	$f (- 2) = 2 (2) - 2$	$2$
$0$	$f (0) = 2 ∣ 0 ∣ - 2$	$f (0) = 2 (0) - 2$	$- 2$
$2$	$f (2) = 2 ∣ 2 ∣ - 2$	$f (2) = 2 (2) - 2$	$2$
$4$	$f (4) = 2 ∣ 4 ∣ - 2$	$f (4) = 2 (4) - 2$	$6$
$6$	$f (6) = 2 ∣ 6 ∣ - 2$	$f (6) = 2 (6) - 2$	$10$

Now we can graph $f (x)$ by plotting the points and connecting them with straight lines on either side of the vertex.

Graphing Absolute Value Functions 1.5 - Solution