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List of types of functions
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List of types of functions : ウィキペディア英語版
List of types of functions
Functions can be identified according to the properties they have. These properties describe the functions behaviour under certain conditions. A parabola is a specific type of function.
==Relative to set theory==
These properties concern the domain, the codomain and the range of functions.
* Injective function: has a distinct value for each distinct argument. Also called an injection or, sometimes, one-to-one function.In other words, every element of the function's codomain is the image of at most one element of its domain.
* Surjective function: has a preimage for every element of the codomain, i.e. the codomain equals the range. Also called a surjection or onto function.
* Bijective function: is both an injection and a surjection, and thus invertible.
* Identity function: maps any given element to itself.
* Constant function: has a fixed value regardless of arguments.
* Empty function: whose domain equals the empty set.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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