How to Express a Relation as a Table
A relation is simply a collection of ordered points or Cartesian coordinates that are related in some form -- most often via a function. To express, a relation as a table, break each set of ordered points into two different points based on whether the point is based on the x axis or y axis.
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Instructions
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Draw a table with as many columns as there are points per each ordered set in the relation. Given the relation {(1, 2, 3), (4, 5, 6), (7, 8, 9)}, every ordered set has three points, so you would give the table three columns. A relation can have as little as one point per set and as many as three points per set.
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Label each column. The first point always represents the x axis, the second point always represents the y axis and third point, if there is one, always represents the z axis.
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Fill the first column with all the x-axis points from the relation. Given the relation {(1, 2, 3), (4, 5, 6), (7, 8, 9)}, the x-axis points are 1, 4 and 7.
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Populate all additional columns according to the position of each point. Given the example, populate the y-axis column with 2, 5 and 8, and populate the z-axis column with 3, 6 and 9.
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