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