Definitions
- Used in mathematics to describe the set of all possible outputs or values that a function can produce. - Referring to the range of a function, which is the set of all possible outputs. - Talking about the set of values that a function maps to.
- Used in mathematics to describe the set of all actual outputs or values that a function produces. - Referring to the set of all possible values that the dependent variable can take on. - Talking about the output values of a function.
List of Similarities
- 1Both terms are used in mathematics to describe sets of values.
- 2Both refer to the outputs or values of a function.
- 3Both are related to the concept of mapping inputs to outputs.
What is the difference?
- 1Definition: Codomain refers to the set of all possible outputs of a function, while range refers to the set of actual outputs.
- 2Completeness: Codomain includes all possible outputs, even if they are not actually produced by the function, while range only includes the actual outputs.
- 3Usage: Codomain is more commonly used in mathematical discussions and formal contexts, while range is used in both mathematics and everyday language.
- 4Focus: Codomain emphasizes the entire set of possible outputs, while range focuses on the specific outputs that are actually produced by the function.
- 5Precision: Codomain provides a broader and more general description, while range provides a narrower and more specific description.
Remember this!
Codomain and range are both mathematical terms used to describe the outputs or values of a function. However, the difference between codomain and range lies in their definition and completeness. The codomain refers to the set of all possible outputs, including those that may not be produced by the function. On the other hand, the range refers to the set of actual outputs that are produced by the function. While codomain is more commonly used in mathematical discussions and formal contexts, range is used in both mathematics and everyday language.
