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How do you find the domain and the range of the relation, and state whether or not the relation is a function {(-3,2), (0,3), (1, 4), (1, -6), (6, 4)}?

Answer 1

the domain is: #{-3, 0, 1, 6}#
the range is:#{2, 3, 4, -6, 4}#
the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .

In the relation: #{(-3, 2), (0, 3), (1, 4), (1, -6), (6, 4)}#: The domain: Is the set of all the first numbers of the ordered pairs. In other words, the domain is all of the x-values. So in this case the domain is: #{-3, 0, 1, 6}# The range: Is the set of the second numbers in each pair, or the y-values. So in this case the range is: #{2, 3, 4, -6, 4}# A relation is a function if it has only One y-value for each x-value. So in this case the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .

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Answer 2

Hazel Anglin

Domain: {-3, 0, 1, 6} Range: {2, 3, 4, -6} Not a function, as the input 1 has multiple corresponding outputs.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.