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Pearson Algebra 1 Common Core, 2011 View details

4. Graphing a Function Rule

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Exercise 25 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\|+2	\|± a\|=a	y	(x,y)
-4	\| -4\|+2	4+2	6	( -4, 6)
-2	\| -2\|+2	2+2	4	( -2, 4)
0	\| 0\|+2	0+2	2	( 0, 2)
2	\| 2\|+2	2+2	4	( 2, 4)
4	\| 4\|+2	4+2	6	( 4, 6)

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.