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How Do You Find the Domain and Range of a Relation?

Find the domain and the range for the following relation:
{(0,2), (3,4), (-3,-2), (2,4)}

Summary

  1. Create an x-y table that lists the x-coordinates on the left, and the associated y-coordinates on the right
  2. Place the first ordered pair, (0,2), into the first row
  3. Place the second ordered pair, (3,4), into the second row
  4. Place the third ordered pair, (-3,-2), into the third row
  5. Place the forth ordered pair, (2,4), into the forth row
  6. The domain is the set of the x-coordinates, 0, 3, -3, and 2
  7. The range is the set of the y-coordinates, 2, 4, and -2

Notes

    1. An x-y table lists the x-coordinates on the left, and the associated y-coordinates on the right
    1. An x-y table lists the x-coordinates on the left, and the associated y-coordinates on the right
    1. (0,2) is an ordered pair, so the x-coordinate of (0,2) must be associated with the y-coordinate on the table
    2. So 0 goes on the left because it is an x value, and 2 is in the box immediately to the right of 0, because it is 0's y value
    1. (3,4) is an ordered pair, so the x-coordinate of (3,4) must be associated with the y-coordinate on the table
    2. So 3 goes on the left because it is an x value, and 4 is in the box immediately to the right of 3, because it is 3's y value
    1. In the table, -3 is on the left of -2 and 2 is on the left of 4
    1. The domain is a list of x-values
    2. The range is a list of y-values
    1. The x-coordinates are 0, 3, -3, and 2
    1. The domain is a list of x-values
    2. The x-coordinates are 0, 3, -3, and 2
    1. The range is a list of y-values
    1. The y-coordinates are 2, 4, -2, and 4
    1. When writing a set from a list of coordinates, we always exclude repeating numbers
    1. When writing a set from a list of coordinates, we always exclude repeating numbers
    2. The y-coordinates are 2, 4, -2, and 4
    1. The domain is the set {0, 3, -3, 2}
    2. The range is the set {2, 4, -2}