The seniority rule functions by looking at the number of years one has been in an institution. This is an ideology that is based on hierarchical age.
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A rule is a way of describing a function in words. Conversly, a function is simply a way of describing mathematical rules in numbers and symbols.
A table organizing to imput rule and output of a function
Only the function rule. Very complicated patterns may be impossible to discern from a scatter plot or table.
If the domain is infinite, it is not possible to list the function.
x2 - y2 = (x + y)(x - y) is an identity, not a function.