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What are the domain and range of this relation?

(2,
–
2)
(7,5)
(
–
6,
–
1)
(
–
6,
–
9)

1 answer

To determine the domain and range of the given relation, we can look at the provided pairs of values which represent coordinates in the form (x, y).

Given pairs:

  1. (2, -2)
  2. (7, 5)
  3. (-6, -1)
  4. (-6, -9)

Domain: This is the set of all x-values from the pairs.

  • From the pairs, the x-values are: 2, 7, -6, -6.
  • The unique x-values (without repetition) are: 2, 7, -6.

So, the domain is: {2, 7, -6}.

Range: This is the set of all y-values from the pairs.

  • From the pairs, the y-values are: -2, 5, -1, -9.
  • The unique y-values (without repetition) are: -2, 5, -1, -9.

So, the range is: {-2, 5, -1, -9}.

In summary:

  • Domain: {2, 7, -6}
  • Range: {-2, 5, -1, -9}