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Big Ideas Math Algebra 1, 2015

BI

Big Ideas Math Algebra 1, 2015 View details

7. Graphing Absolute Value Functions

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

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Subchapter links

Communicate Your Answer p.155

Monitoring Progress p.156-159

Exercises p.160-162