Codomain Definition Math

This definition is super simple.

Codomain definition math. It is not the same as the range. The term range is sometimes ambiguously used to refer to either the codomain or image of a function. The codomain is the set of values that could possibly come out.

The range is the set of all values that are obtained by applying the function to values from the domain. Codomain definition the codomain of a function is the set of its possible outputs. Namely if f is a function from a to b denoted then b is the codomain of f.

It is the set y in the notation f. The codomain is actually part of the definition of the function. It is the set y in the notation f.

In mathematics the codomain or set of destination of a function is the set into which all of the output of the function is constrained to fall. It is a prime example of when mathematicians just need to come up with a word to describe something that is very common. The set of all possibleoutput values of a function.

For example the absolute value function can be considered to be a function with domain r and codomain r. The codomain is the set of all possible output values of a function. In mathematics the codomain or target set of a function is the set y into which all of the output of the function is constrained to fall.

The codomain is also sometimes referred to as the range but that term is ambiguous as it may also refer to the image. In the function machine metaphor the codomain is the set of objects that might possible come out of the machine. The codomain of f is simply the set in which f takes its values.