1. In mathematics, the set of all possible output values that a function is allowed to produce, whether or not every element is actually used.
Usage: technical; mathematics

Examples

• The codomain of the function f(x) = x² is typically defined as the set of all real numbers.
• When we write f: ℝ → ℝ, the codomain is the set of real numbers on the right side of the arrow.
• The codomain must contain the range, but it can be larger than the range.
• In the function that maps students to their grades, the codomain is the set of all possible letter grades.
• Changing the codomain of a function can affect whether it is considered surjective or not.