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smithnya
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I am having a difficult time wrapping my mind around the differences between a codomain and a range. Could someone explain the difference between the two and possibly provide an example?
The codomain of a function is the set of all possible output values, while the range is the set of actual output values. In other words, the codomain is the entire set of potential outputs, while the range is the subset of those outputs that are actually produced by the function.
The codomain and range are related in that the range is a subset of the codomain. This means that all of the values in the range are also included in the codomain. However, not all values in the codomain may be included in the range, as some may not be produced by the function.
Yes, the codomain and range can be the same set. This means that all of the possible outputs of the function are actually produced by the function. In this case, the range would be equal to the codomain.
To determine the codomain and range of a function, you can look at the set of all possible outputs and the set of actual outputs. The set of all possible outputs is the codomain, and the set of actual outputs is the range.
Yes, all functions have a codomain and range. However, in some cases, the codomain and range may be the same set, while in others they may be different sets. It depends on the specific function and the values that it maps from the domain to the range.