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Core Connections Integrated II, 2015

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Core Connections Integrated II, 2015 View details

1. Section 9.1

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Exercise 42 Page 497

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

9.1.1 Modeling Nonlinear Data p.484-485

9.1.2 Modeling Nonlinear Data p.488-490

9.1.3 Graphing Form of a Quadratic Function p.493-494

9.1.4 Transforming the Absolute Value Function p.497-498