Constant function: Difference between revisions

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Notice that every [[empty function]], that is, any function whose [[___domain]] equals the [[empty set]], is included in the above definition [[vacuous truth|vacuously]], since there are no ''x'' and ''y'' in ''A'' for which ''f''(''x'') and ''f''(''y'') are different. However some find it more convenient to define constant function so as to exclude empty functions.
 
For [[polynomial]] functions, a non-zero constant function is called a polynomial of degree zero.
 
==Properties==