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

Notes
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- An x-y table lists the x-coordinates on the left, and the associated y-coordinates on the right
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- An x-y table lists the x-coordinates on the left, and the associated y-coordinates on the right
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- (0,2) is an ordered pair, so the x-coordinate of (0,2) must be associated with the y-coordinate on the table
- 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
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- (3,4) is an ordered pair, so the x-coordinate of (3,4) must be associated with the y-coordinate on the table
- 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
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- In the table, -3 is on the left of -2 and 2 is on the left of 4
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- The domain is a list of x-values
- The range is a list of y-values
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- The x-coordinates are 0, 3, -3, and 2
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- The domain is a list of x-values
- The x-coordinates are 0, 3, -3, and 2
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- The range is a list of y-values
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- The y-coordinates are 2, 4, -2, and 4
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- When writing a set from a list of coordinates, we always exclude repeating numbers
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- When writing a set from a list of coordinates, we always exclude repeating numbers
- The y-coordinates are 2, 4, -2, and 4
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- The domain is the set {0, 3, -3, 2}
- The range is the set {2, 4, -2}