body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Study Guide and Review

Continue to next subchapter

Exercise 50 Page 160

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

Graph:

Domain: All real numbers.
Range: f(x) ≥ 0

Practice makes perfect

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

x	\|x\|	f(x)
-4	\| -4\|	4
-2	\| -2\|	2
0	\| 0\|	0
2	\| 2\|	2
4	\| 4\|	4

We will plot these ordered pairs on a coordinate plane and connect them to get the graph of f(x).

The domain of an absolute value function will usually be all real numbers, unless specific restrictions have been imposed upon the function. Domain: -∞ < x < ∞ To find the range of an absolute value function, we need to see the location of the vertex. Because this type of function will always have a V-shape, the y-value of the vertex is the minimum or maximum of the range. The minimum of the given function is 0 and then it will continue increasing indefinitely. Range: f(x) ≥ 0

Subchapter links

1 Graphing Quadratic Functions p.158

2 Solving Quadratic Equations by Graphing p.158

3 Transformations of Quadratic Functions p.159

4 Solving Quadratic Equations by Completing the Square p.159

5 Solving Quadratic Equations by Using the Quadratic Formula p.160

6 Analyzing Functions with Successive Differences p.160

7 Special Functions p.160