Codomain
The set of all possible output values for a function
The codomain is the set of all possible output values that a function can produce. It is the entire set of values where the function can land or fall after it has been applied to the input values. In other words, it is the set of all y-values that may occur as an output of a given function.
For example, if we have a function f(x) = x^2, then the codomain would be all non-negative real numbers. This is because when we plug in any real number for x, we get a non-negative real number as the output (since the square of any real number is always non-negative).
It is important to note that the codomain is not necessarily the same as the range of a function. The range is the set of all actual output values that the function produces for a given input value or range of input values, while the codomain is the set of all possible output values.
The codomain is an important concept in mathematics because it helps us to understand the behavior and limitations of a function. It also helps us to understand how the function relates to other functions or mathematical structures.
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