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Pearson Algebra 2 Common Core, 2011

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Pearson Algebra 2 Common Core, 2011 View details

End-of-Course Assessment

Finish the assignment

Exercise 23 Page 966

Make a table of values. Notice that the graph of the absolute value function f(x) is a V-shaped graph.

Practice makes perfect

To graph the function, let's make a table of values first!

x	\|2x+6\|-1	Simplify	f(x)
- 5	\|2( - 5)+6\|-1	4-1	3
- 4	\|2( - 4)+6\|-1	2-1	1
-3	\|2( - 3)+6\|-1	0-1	- 1
-2	\|2( - 2)+6\|-1	2-1	1
- 1	\|2( - 1)+6\|-1	4-1	3

We will plot these ordered pairs on a coordinate plane and connect them to get the graph of f(x). Notice that f(x) is a transformation of the parent function f(x)=|x|, which is V-shaped. Therefore, f(x) will also be a V-shaped graph.

Subchapter links

Exercises p.964-971