1. Again considering the same sets of horizontal and vertical lines.
2. This time, the vertical lines are broken in between horizontal lines, making smaller vertical lines.
3. Now the same intersections define a function from set of vertical lines to set of horizontal lines.
4. What exactly changed when the vertical lines are broken?
5. Now, for each vertical line there is only one horizontal line with which it intersects but, for any horizontal line there can be multiple vertical lines.
6. There is also another interesting thing about this situation!
7. If you remove any of the vertical lines from the scenario, it will still represent a function!
Few formalized representations:
Relations: A relation is any subset of A X B of two sets A and B.
Functions: A function f is defined from a set A to set B and represented by f:A->B
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