Question

Consider the following mapping diagram.

What is the domain and range?
Domain = {b, c, d}
Range = {a, b, c}
Domain = {a, b, c}
Range = {b, c, d}
Domain = {b, c, d}
Range = {a, b, c, d}
Domain = {a, b, c, d}
Range = {b, c, d}

Answers

GPT-4o mini
To determine the correct domain and range from the given options, let's first clarify what domain and range mean:

- **Domain**: The set of all possible input values (or "x-values") for a function or mapping.
- **Range**: The set of all possible output values (or "y-values") for a function or mapping.

Now, let’s analyze the provided options:

1. **Domain = {b, c, d}, Range = {a, b, c}**
2. **Domain = {a, b, c}, Range = {b, c, d}**
3. **Domain = {b, c, d}, Range = {a, b, c, d}**
4. **Domain = {a, b, c, d}, Range = {b, c, d}**

To identify the correct option, we need to decide which pair of sets accurately represents the input and output values from the mapping diagram.

Without seeing the actual mapping diagram, let's assume we have a function that maps elements from a specific domain to a specific range.

- If we take the first option:
- This domain includes three elements (b, c, d) and maps to three elements in the range (a, b, c).
- In the second option:
- The domain of three elements (a, b, c) maps to three in (b, c, d).
- The third option with input (b, c, d) and output including (a, b, c, d) provides a range but does not include an extra unique value.
- The last option with domain (a, b, c, d) has a smaller output range (b, c, d).

As per standard notation:
The domain and range should ideally contain all unique values presented. The third option appears to encapsulate a more extensive range, but we need to confirm if they meet the input-output correlation specific to the mapping diagram.

Therefore, if we analyze theoretically, an ideal domain would be inclusive of distinct entities. Without visuals or specific mappings, the general best-practice approach aligns with pairs (3 or 4).

Please check the diagram to analyze connections and confirm which mapping specifically correlates with the domain/range combination. If it's structured for smaller to more extensive coverage as in mapping functions, let me know for specific adjustments!

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