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

A coordinate plane with points at negative 3 comma 4, negative 1 comma 1, 0 comma negative 2, 2 comma 0, and 4 comma negative 1.

What is the domain of the relation?
{−3, −2, −1, 0, 1, 2, 4}
{−3, 0, 1, 4}
{−2, −1, 0, 1, 4}
{−3, −1, 0, 2, 4}

1 answer

To determine the domain of the relation represented by the given points on the graph, we need to identify the set of all unique x-coordinates from the points provided.

The points are:

  • (-3, 4)
  • (-1, 1)
  • (0, -2)
  • (2, 0)
  • (4, -1)

The x-coordinates from these points are:

  • -3
  • -1
  • 0
  • 2
  • 4

Now, compiling these unique x-coordinates, the domain of the relation is: \({-3, -1, 0, 2, 4}\).

Among the options provided, the correct choice is: {−3, −1, 0, 2, 4}.