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Houghton Mifflin Harcourt Algebra 1, 2015 View details

2. Absolute Value Functions and Transformations

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Exercise 6 Page 475

Start with making a table of values for x and g(x).

Practice makes perfect

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

x	g(x)=\|x+5\|-3	Simplified Absolute Value	g(x)
-8	g( -8)=\| -8+5\|-3	g( -8)=(3)-3	0
-5	g( -5)=\| -5+5\|-3	g( -5)=(0)-3	-3
-2	g( -2)=\| -2+5\|-3	g( -2)=(3)-3	0
0	g( 0)=\| 0+5\|-3	g( 0)=(5)-3	2
2	g( 2)=\| 2+5\|-3	g( 2)=(7)-3	4
5	g( 5)=\| 5+5\|-3	g( 5)=(10)-3	7
8	g( 8)=\| 8+5\|-3	g( 8)=(13)-3	10