Subjects algebra

Relation Function 5Abcdf

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1. **State the problem:** Determine if the relation given by the points (0, 3), (1, 4), (2, 3), (3, 0), and (5, 4) is a function. 2. **Recall the definition of a function:** A relation is a function if every input (x-value) corresponds to exactly one output (y-value). This means no x-value can be paired with more than one y-value. 3. **Check the x-values in the given points:** The x-values are 0, 1, 2, 3, and 5. 4. **Verify if any x-value repeats with different y-values:** - (0, 3) unique x=0 - (1, 4) unique x=1 - (2, 3) unique x=2 - (3, 0) unique x=3 - (5, 4) unique x=5 No x-value repeats with a different y-value. 5. **Conclusion:** Since each x-value has exactly one y-value, the relation is a function. Final answer: **Yes, the relation is a function.**