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 six times 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 | 6x | y | (x,y) |
---|---|---|---|
-1 | 6( -1) | -6 | ( -1, -6) |
0 | 6( 0) | 0 | ( 0, 0) |
1 | 6( 1) | 6 | ( 1, 6) |
Let's plot these three points on a coordinate plane.
By connecting all of our points with a line, we form the graph of the function rule.