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Houghton Mifflin Harcourt Algebra 1, 2015 View details

2. Absolute Value Functions and Transformations

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Exercise 3 Page 475

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

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

x	g(x)=\|x-3\|-5	Simplified Absolute Value	g(x)
-2	g( -2)=\| -2-3\|-5	g( -2)=(5)-5	0
0	g( 0)=\| 0-3\|-5	g( 0)=(3)-5	-2
2	g( 2)=\| 2-3\|-5	g( 2)=(1)-5	-4
4	g( 4)=\| 4-3\|-5	g( 4)=(1)-5	-4
6	g( 6)=\| 6-3\|-5	g( 6)=(3)-5	-2
8	g( 8)=\| 8-3\|-5	g( 8)=(5)-5	0