Exercise 30 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	\|-2x\|-1	\|± a\|=a	y	(x,y)
-4	\|-2( -4)\|-1	8-1	7	( -4, 7)
-2	\|-2( -2)\|-1	4-1	3	( -2, 3)
0	\|-2( 0)\|-1	0-1	-1	( 0, -1)
2	\|-2( 2)\|-1	4-1	3	( 2, 3)
4	\|-2( 4)\|-1	8-1	7	( 4, 7)

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 30 Page 258

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