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Houghton Mifflin Harcourt Algebra 1, 2015

HM

Houghton Mifflin Harcourt Algebra 1, 2015 View details

2. Absolute Value Functions and Transformations

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Exercise 19 Page 476

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

Now we can graph g(x) by plotting the points and connecting them with straight lines on either side of the vertex.

Subchapter links

Explore p.471-474

Elaborate p.475

Evaluate: Homework and Practice p.475-478

Lesson Performance Task