Houghton Mifflin Harcourt Algebra 1, 2015
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Houghton Mifflin Harcourt Algebra 1, 2015 View details
2. Absolute Value Functions and Transformations
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Exercise 1 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+1|+1 Simplified Absolute Value g(x)
-6 g( -6)=| -6+1|+1 g( -6)=(5)+1 6
-4 g( -4)=| -4+1|+1 g( -4)=(3)+1 4
-2 g( -2)=| -2+1|+1 g( -2)=(1)+1 2
0 g( 0)=| 0+1|+1 g( 0)=(1)+1 2
2 g( 2)=| 2+1|+1 g( 2)=(3)+1 4
4 g( 4)=| 4+1|+1 g( 4)=(5)+1 6
6 g( 6)=| 6+1|+1 g( 6)=(7)+1 8

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