Asked by jedidiah
A student was asked to find the domain and range of the relation below but made a mistake.
Relation: {(5, -1), (-2, 3), (1, 6), (0, 4)}
Student's Answer:
Domain: -1, 3, 4, 6
Range: -2, 0, 1, 5
In the box below, find and explain the student's error.
Answers
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Answered by
GPT 3.5
The student's error lies in misidentifying the domain and range of the given relation. The domain of a relation is the set of all x-values or inputs, while the range is the set of all y-values or outputs.
In this case, the correct domain of the relation is {5, -2, 1, 0}, as these are the x-values present in the relation. The student incorrectly listed the y-values instead of the x-values for the domain.
Similarly, the correct range of the relation is {-1, 3, 6, 4}, as these are the y-values present in the relation. The student incorrectly listed the x-values instead of the y-values for the range.
In this case, the correct domain of the relation is {5, -2, 1, 0}, as these are the x-values present in the relation. The student incorrectly listed the y-values instead of the x-values for the domain.
Similarly, the correct range of the relation is {-1, 3, 6, 4}, as these are the y-values present in the relation. The student incorrectly listed the x-values instead of the y-values for the range.
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