List the domain and range of the relation.

​{(4​,negative 3​), ​(9​,9​), ​(0​,negative 3​), ​(9​,1​) ​(4​,3​)}
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Part 1
The domain is StartSet nothing EndSet
  
.​ (Use a comma to separate answers as​ needed.)

1 answer

To identify the domain and range of the given relation, we take note of the ordered pairs provided:

\[ {(4, -3), (9, 9), (0, -3), (9, 1), (4, 3)} \]

Domain: The domain consists of all the first elements (x-values) of the ordered pairs.

From the pairs:

  • The x-values are: \(4, 9, 0, 9, 4\)

Unique x-values (removing duplicates):

  • \(0, 4, 9\)

So, the domain is: \[ \text{Domain} = {0, 4, 9} \]

Range: The range consists of all the second elements (y-values) of the ordered pairs.

From the pairs:

  • The y-values are: \(-3, 9, -3, 1, 3\)

Unique y-values (removing duplicates):

  • \(-3, 9, 1, 3\)

So, the range is: \[ \text{Range} = {-3, 1, 3, 9} \]

Final answer:

  • Domain: \({0, 4, 9}\)
  • Range: \({-3, 1, 3, 9}\)