Question

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.)

Answer 1

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**