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