Constant function: Difference between revisions

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{{Short description|Type of mathematical function}}

{{distinguish|function constant}}

[[Image:wiki constant function 175 200.png|270px|right|Constant function ''y''(''x'') = 4|thumb|An example of a constant function is {{math|1=''y''(''x'') = 4}}, because the value of {{math|''y''(''x'')}} is 4 regardless of the input value {{mvar|x}}.]]

{{Functions}}

[[Image:wiki constant function 175 200.png|270px|right|Constant function ''y''(''x'') = 4]]

In [[mathematics]], a '''constant function''' is a [[Function (mathematics)|function]] whose (output) value is the same for every input value.<ref>{{cite book |title=Encyclopedia of Mathematics |last1=Tanton |first1=James |year=2005 |publisher=Facts on File, New York |isbn=0-8160-5124-0 |page=94 }}</ref> For example, the function {{math|1=''y''(''x'') = 4}} is a constant function because the value of {{math|''y''(''x'')}} is 4 regardless of the input value {{mvar|x}} (see image).

== Basic properties ==