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The image shows a question asking to determine the codomain and range of a function \( f: A \to B \), based on the mapping diagram provided.

### Diagram Interpretation:
- **Set A** contains elements: \( \{1, 2, 3\} \).
- **Set B** contains elements: \( \{a, b, c, d\} \).
- The mapping is as follows:
  - \( 1 \) maps to \( a \),
  - \( 2 \) maps to \( c \),
  - \( 3 \) maps to \( d \).

### Solution:
- **Codomain of \( f \)**: The codomain of a function is the set of all possible outputs, which in this case is the entire set \( B \). Therefore, the codomain of \( f \) is \( \{a, b, c, d\} \).

- **Range of \( f \)**: The range of a function is the set of actual outputs based on the given mapping. The elements in set \( B \) that are actually mapped by elements in \( A \) are \( \{a, c, d\} \). Thus, the range of \( f \) is \( \{a, c, d\} \).

### Final Answer:
- **Codomain**: \( \{a, b, c, d\} \)


Determine the codomain and range of the function f: A → B from the given mapping diagram.

Learn how to find the codomain and range of a function based on a mapping diagram. The problem involves understanding set mappings and how to identify the actual output range from given elements. Suitable for students in Grades 9-11.

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