Question

Use the relation {(-3, 1), (-2, 0), (1, 2), (3, -4), (-3, 5)} is this the correct mapping of the relation?

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Answer 1

To determine if this is a correct mapping of the relation, we need to clarify what is being asked. A relation is typically defined as a set of ordered pairs, linking elements from one set (the domain) to elements of another set (the codomain).

The given relation is:
{(-3, 1), (-2, 0), (1, 2), (3, -4), (-3, 5)}

Here are a couple of points to consider:

1. **Unique Elements**: For a relation that denotes a function, each input (first element of the pair) should be mapped to a unique output (the second element). In the relation provided, the input `-3` is mapped to both `1` and `5`. This means that `-3` corresponds to two different outputs, which violates the definition of a function.

2. **Relation Validity**: If the question simply asks if this is a relation, without specifying it must be a function, then it is a correct representation of a relation as a collection of ordered pairs, but not as a function.

Given this, if the question is asking whether this constitutes a valid function, the answer is **false**. If it is just asking whether it represents a relation, the answer is **true**.

Based on the typical context where "correct mapping" often implies a function, the most appropriate response here would be:

**False**