adjective
- relating to or being a mathematical function in which every element of the range corresponds to at least one element of the domain
Usage: mathematics
Examples
- The function f(x) = x² is not surjective when mapping from real numbers to real numbers.
- A surjective function maps onto its entire codomain.
- To prove a function is surjective, show that every element in the range has a preimage.
- The sine function is surjective when its range is restricted to [-1, 1].
- Surjective functions are also called onto functions in mathematics.
- The composition of two surjective functions is always surjective.