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Determine whether the relation is a function. Give the domain and the range for the relation.

{(4,1),(5,2),(9,9)}

Is this a function?

Yes

No

The domain is
(Use a comma to separate answers as needed.)

The range is
(Use a comma to separate answers as needed.)

1 answer

To determine if the relation is a function, we need to check if each input (x-value) is associated with exactly one output (y-value).

The given relation is: \[ {(4,1),(5,2),(9,9)} \]

  • For the input \(4\), the output is \(1\).
  • For the input \(5\), the output is \(2\).
  • For the input \(9\), the output is \(9\).

Since each input corresponds to exactly one output, this relation is indeed a function.

Now, let's identify the domain and the range:

Domain: The set of all first elements (x-values) from the pairs: \[ {4, 5, 9} \]

Range: The set of all second elements (y-values) from the pairs: \[ {1, 2, 9} \]

Summary:

  • Is this a function? Yes
  • The domain is: 4, 5, 9
  • The range is: 1, 2, 9