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Core Connections Algebra 1, 2013

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Core Connections Algebra 1, 2013 View details

3. Section 11.3

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Exercise 84 Page 553

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 given absolute value function, let's make a table of values first!

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

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 y=|x|, which is V-shaped. Thus, f(x) will also be a V-shaped graph.

Now, we can label special points of the graph — the vertex, x-intercepts, and y-intercept.

Subchapter links

11.3.1 Using a Best-Fit Line to Make a Prediction p.552-553

11.3.2 Relation Treasure Hunt p.555-556

11.3.3 Investigating a Complex Function p.558-559

11.3.4 Using Algebra to Find a Maximum p.562-564

11.3.5 Exponential Functions and Linear Inequalities p.567-569