4. Graphing a Function Rule
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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 | 3x-2 | y | (x,y) |
|---|---|---|---|
| -1 | 3( -1) - 2 | -5 | ( -1, -5) |
| 0 | 3 ( 0) - 2 | -2 | ( 0, -2) |
| 1 | 3( 1) - 2 | 1 | ( 1, 1) |
By connecting all of our points with a line, we form the graph of the function rule.