Graphing Absolute Value Functions

To graph $y = ∣ 5 x ∣$ using a table of values, we will assign some random values for $x$ and calculate the corresponding values for $y .$ Recall that the absolute value removes the negative sign.

$x$	$∣ 5 x ∣$	$y = ∣ 5 x ∣$
$- 4$	$∣ 5 (- 4) ∣$	$20$
$- 2$	$∣ 5 (- 2) ∣$	$10$
$0$	$∣ 5 (0) ∣$	$0$
$2$	$∣ 5 (2) ∣$	$10$
$4$	$∣ 5 (4) ∣$	$20$

Now we can plot and connect the obtained points on a coordinate plane. Keep in mind that the graph of an absolute value function has a V shape!

Graphing Absolute Value Functions 1.8 - Solution