What is the domain of the relation? {x| x = –4 , 0, 1, 2}. {x| x = –7, –6, 2, 3, 11}. {y| y = –4, 0, 1, 2}. {y| y = –7, –6, 2, 3, 11}.

1 answer

To find the domain of the relation, we look at the sets of values given. The domain is the set of all possible inputs (or \(x\)-values) for the relation.

In the provided sets, we have the following values for \(x\):

  1. The first set of \(x\)-values: \(-4, 0, 1, 2\)
  2. The second set of \(x\)-values: \(-7, -6, 2, 3, 11\)

Now, we'll take the union of these two sets to find the complete domain:

  • From the first set: \(-4, 0, 1, 2\)
  • From the second set: \(-7, -6, 2, 3, 11\)

Combining these, we have:

\(-7, -6, -4, 0, 1, 2, 3, 11\)

Note that the number \(2\) appears in both sets, but we only list it once in the domain.

Thus, the domain of the relation is:

\[ { -7, -6, -4, 0, 1, 2, 3, 11 } \]