A mapping diagram showing a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negative 9), (2, negative 6), (negative 5, 4), (1, 2), (6, 0).

Question

What is the domain of the function shown in the mapping?

{x | x = –5, –3, 1, 2, 6}
{y | y = –9, –6, 0, 2, 4}
{x | x = –9, –6, –5, –3, 0, 1, 2, 4, 6}
{y | y = –9, –6, –5, –3, 0, 1, 2, 4, 6}

Answer 1

The domain of a function consists of all the input values (or x-values) for the relation.

Given the ordered pairs:
(–3, –9),
(2, –6),
(–5, 4),
(1, 2),
(6, 0).

The x-values from these ordered pairs are: –3, 2, –5, 1, and 6.

Therefore, the domain of the function is:
{x | x = –5, –3, 1, 2, 6}

Among the given options, the correct one is:
{x | x = –5, –3, 1, 2, 6}