Math Problem Statement
Determine the codomain and range of the function f: A → B from the given mapping diagram.
Solution
The image shows a question asking to determine the codomain and range of a function , based on the mapping diagram provided.
Diagram Interpretation:
- Set A contains elements: .
- Set B contains elements: .
- The mapping is as follows:
- maps to ,
- maps to ,
- maps to .
Solution:
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Codomain of : The codomain of a function is the set of all possible outputs, which in this case is the entire set . Therefore, the codomain of is .
-
Range of : The range of a function is the set of actual outputs based on the given mapping. The elements in set that are actually mapped by elements in are . Thus, the range of is .
Final Answer:
- Codomain:
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Math Problem Analysis
Mathematical Concepts
Functions
Mappings
Sets
Formulas
-
Theorems
Codomain and Range of a Function
Suitable Grade Level
Grades 9-11