Domain: { -3, -1, 1, 2, 4 }

Domain: \{ -3, -1, 1, 2, 4 \}

Answer:
Domain: \( \{ -3, -1, 1, 2, 4 \} \)
Range: \( \{ -2, -1, 1, 3 \} \)

Explanation:
The problem involves identifying the domain and range of a relation represented by a set of points on a Cartesian coordinate system. The domain consists of all the x-coordinates of the points, while the range consists of all the y-coordinates.

Steps:

  1. Identify the points on the graph:

From the graph, the points can be observed as follows:

  • Point 1: \( (-3, -2) \)
  • Point 2: \( (-1, -1) \)
  • Point 3: \( (1, 1) \)
  • Point 4: \( (2, 3) \)
  • Point 5: \( (4, 0) \)
  1. Determine the domain:

The domain is the set of all x-coordinates from the identified points:

  • From the points: \( -3, -1, 1, 2, 4 \)
  • Therefore, the domain is \( \{ -3, -1, 1, 2, 4 \} \).
  1. Determine the range:

The range is the set of all y-coordinates from the identified points:

  • From the points: \( -2, -1, 1, 3, 0 \)
  • Therefore, the range is \( \{ -2, -1, 1, 3, 0 \} \).
  1. Write the answers in set notation:
  • Domain: \( \{ -3, -1, 1, 2, 4 \} \)
  • Range: \( \{ -2, -1, 1, 3, 0 \} \)

Thus, the final answers for the domain and range are provided above.

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