5. Writing a Function Rule
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Substitute some arbitrary values for x to find their corresponding y-values.
The given equation says that the y-values are nine more than the negative of x. By substituting some arbitrary values for x, we can simplify and determine the corresponding values of y, which we can use to form ( x, y) coordinate pairs. We will do this a few times to make a table of values for the given function rule.
| x | 9-x | y | (x,y) |
|---|---|---|---|
| -1 | 9-( -1) | 10 | ( -1, 10) |
| 0 | 9- 0 | 9 | ( 0, 9) |
| 1 | 9- 1 | 8 | ( 1, 8) |
By connecting all of our points with a line, we form the graph of the function rule.