Exercise 24 Page 258

Substitute some arbitrary values for x to find their corresponding y-values.

Practice makes perfect

One way to graph a function rule is by making a table of values and substituting some arbitrary values for x. Doing so will give the corresponding values of y, which we can use to form ( x, y) coordinate pairs.

x	\|x\|-7	\|± a\|=a	y	(x,y)
-4	\| -4\|-7	4-7	-3	( -4, -3)
-2	\| -2\|-7	2-7	-5	( -2, -5)
0	\| 0\|-7	0-7	-7	( 0, -7)
2	\| 2\|-7	2-7	-5	( 2, -5)
4	\| 4\|-7	4-7	-3	( 4, -3)

Let's plot these points on a coordinate plane.

By connecting all of our points, we form the graph of the function rule. An absolute value function will always have a central point and be V-shaped, as it is with our graph below.

Subchapter links

Lesson Check p.257

Practice and Problem-Solving Exercises p.257-259

Standardized Test Prep p.259

Mixed Review p.259

Exercise 24 Page 258

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