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.
- 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.
Read more about this topic: List Of Types Of Functions
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