The mapping diagram shows a relation.

A mapping diagram shows a relation, using arrows, between inputs and outputs for the following ordered pairs: (negative 6, 0), (2, 1), (negative 7, negative 4), (11, 2), (3, 2).

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

The domain of a relation refers to the set of all possible input values (or the first components in the ordered pairs).

Given the ordered pairs:
\[
(\text{-}6, 0), \quad (2, 1), \quad (\text{-}7, \text{-}4), \quad (11, 2), \quad (3, 2)
\]

The inputs (or x-values) are: \(\text{-}6, 2, \text{-}7, 11, 3\).

So, the domain of the relation is:
\[
\{ x \mid x = \text{-}7, \text{-}6, 2, 3, 11 \}
\]

Among the given options, the correct one is:
\[
\{ x \mid x = \text{-}7, \text{-}6, 2, 3, 11 \}
\]
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