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 | -5x+12 | y | (x,y) |
|---|---|---|---|
| 0 | -5( 0) + 12 | 12 | ( 0, 12) |
| 1 | -5( 1) + 12 | 7 | ( 1, 7) |
| 2 | -5( 2) + 12 | 2 | ( 2, 2) |
By connecting all of our points with a line, we form the graph of the function rule.