Question

The graph represents a relation where x represents the independent variable and y represents the dependent variable.

a graph with points plotted at negative 5 comma 1, at negative 2 comma 0, at negative 2 comma negative 2, at 0 comma 2, at 1 comma 3, and at 5 comma 1

What is the domain of the relation?

{−5, −2, 0, 1, 2, 3, 5}
{−5, −2, −1, 0, 3, 5}
{−5, −2, 0, 1, 5}
{−2, 0, 1, 3}

Answer 1

To find the domain of the relation represented by the given points, we need to consider the x-coordinates. The points plotted are:

- (-5, 1)
- (-2, 0)
- (-2, -2)
- (0, 2)
- (1, 3)
- (5, 1)

The x-coordinates from these points are:
- -5
- -2 (this occurs twice, but we only count it once)
- 0
- 1
- 5

Therefore, the domain of the relation is the set of unique x-coordinates:

**Domain: {-5, -2, 0, 1, 5}**

From the provided options, the correct answer is:

**{−5, −2, 0, 1, 5}**.