Questions: Determine whether the relation is a function. Give the domain and range for the relation. (6,6),(5,5),(-6,-6),(2,2)

Determine whether the relation is a function.

Check for unique inputs

A relation is a function if each input (first element of the ordered pair) corresponds to exactly one output (second element of the ordered pair). Here, the inputs are \(6, 5, -6, 2\), and each input appears only once.

Conclusion

Since no input is repeated, the relation is a function.

\\(\boxed{\text{Yes}}\\)

Find the domain of the relation.

Identify all inputs

The domain is the set of all first elements of the ordered pairs. For the given relation, the domain is \(\{6, 5, -6, 2\}\).

\\(\boxed{\text{Domain} = \{6, 5, -6, 2\}}\\)

Find the range of the relation.

Identify all outputs

The range is the set of all second elements of the ordered pairs. For the given relation, the range is \(\{6, 5, -6, 2\}\).

\\(\boxed{\text{Range} = \{6, 5, -6, 2\}}\\)

\\(\boxed{\text{Yes}}\\)
\\(\boxed{\text{Domain} = \{6, 5, -6, 2\}}\\)
\\(\boxed{\text{Range} = \{6, 5, -6, 2\}}\\)