Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
Chapter Review
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Exercise 16 Page 285

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 -2 ( -4, -2)
-2 -| -2|+2 -2+2 0 ( -2, 0)
0 -| 0|+2 0+2 2 ( 0, 2)
2 -| 2|+2 -2+2 0 ( 2, 0)
4 -| 4|+2 -4+2 -2 ( 4, -2)

Let's plot these points on a coordinate plane.

By connecting our points with a line, 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.