1. Plural of codomain; in mathematics, the set of all possible output values that a function is defined to produce, whether or not every element is actually used.
Usage: mathematics; formal

Examples

• In the function f: ℝ → ℝ, the codomains is the set of all real numbers.
• The codomains of a function must be specified when defining the function formally.
• Different codomains can be chosen for the same rule, affecting whether the function is surjective.
• Students often confuse the range with the codomains in their early mathematics courses.
• The codomains of trigonometric functions are typically restricted intervals or the real numbers.