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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 29 Page 160

Create two tables of values and plot the graphs on the same coordinate plane.

Graph:

Comparison: See solution.

Practice makes perfect

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 and connect the obtained points and compare the graphs.

Graph

Let's begin with creating a table of values of function $p .$

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

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Subchapter links

Communicate Your Answer p.155

Monitoring Progress p.156-159

Exercises p.160-162