body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Big Ideas Math Algebra 1, 2015

BI

Big Ideas Math Algebra 1, 2015 View details

7. Graphing Absolute Value Functions

Continue to next subchapter

Exercise 5 Page 160

Make a table of values to find points on the graph. Note that the graph of $d (x)$ is a V-shaped graph.

Graph:

Domain: All real numbers
Range: $y \geq - 4$
Comparison: See solution.

Practice makes perfect

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

Graphing $d (x)$

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.

$x$	$∣ x ∣ - 4$	Simplify	$d (x) = ∣ x ∣ - 4$
$- 5$	$∣ - 5 ∣ - 4$	$5 - 4$	$1$
$- 3$	$∣ - 3 ∣ - 4$	$3 - 4$	$- 1$
$- 1$	$∣ - 1 ∣ - 4$	$1 - 4$	$- 3$
$0$	$∣ 0 ∣ - 4$	$0 - 4$	$- 4$
$1$	$∣ 1 ∣ - 4$	$1 - 4$	$- 3$
$3$	$∣ 3 ∣ - 4$	$3 - 4$	$- 1$
$5$	$∣ 5 ∣ - 4$	$5 - 4$	$1$

Subchapter links

Communicate Your Answer p.155

Monitoring Progress p.156-159

Exercises p.160-162