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Determine whether the relation is a function. Explain. {(2,5),(4,−2),(3,3),(5,4),(−2,5)} *

No; the elements –2, 3, 4, and 5 are in both the domain and the range.
Yes; for each element of the range, there is only one element of the domain.
No; the element 5 occurs twice in the range.
Yes; for each element of the domain, there is only one element of the range.

1 Answer

7 votes

Answer:

Yes; for each element of the domain, there is only one element of the range.

Explanation:

A set (x,y) represents a function if for each value of x(domain), there is only one respective value of y(range).

In this question, yes, for each value of x(2,4,3,5,-2), there is only one respective value of y, so it represents a function.

The correct answer is given by:

Yes; for each element of the domain, there is only one element of the range.

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