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Pearson Algebra 1 Common Core, 2011 View details

4. Graphing a Function Rule

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Exercise 26 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	2\|x\|	\|± a\|=a	y	(x,y)
-2	2\| -2\|	2*2	4	( -2, 4)
-1	2\| -1\|	2*1	2	( -1, 2)
0	2\| 0\|	2*0	0	( 0, 0)
1	2\| 1\|	2*1	2	( 1, 2)
2	2\| 2\|	2*2	4	( 2, 4)

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.