surjective

/sərˈdʒɛktɪv/
adjective
  1. Describing a function in mathematics where every element of the output set is mapped to by at least one element of the input set.
    • In algebra class, we learned that a surjective function covers the entire target set.
    • The teacher explained that a surjective map guarantees every y-value has a corresponding x-value.
    • To prove the function is surjective, we showed that each output has a preimage in the domain.
Synonyms
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