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

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

Summary

  1. Our relation is a set of ordered pairs
  2. We've created an x-y table with the x values on the left, and the y values on the right
  3. Switch the x and y values of the ordered pairs in our relation
  4. The inverse of our relation is {(2,0),(4,3),(-2,-3),(4,2)}
  5. Now we pick out the domain and range from the inverse of our relation
  6. The domain of our inverse is {2,4,-2}, and the range is {0,3,-3,2}

Notes

    1. Our relation is a set of ordered pairs {(0,2),(3,4),(-3,-2),(2,4)}
    1. Our relation is a set of ordered pairs {(0,2),(3,4),(-3,-2),(2,4)}
    1. The x values are the x-coordinates and the y values are the y-coordinates
    1. To find the inverse, we have to switch the x and y values of the ordered pairs in our relation
    2. The x values are the x-coordinates and the y values are the y-coordinates
    1. To find the inverse, we have to switch the x and y values of the ordered pairs in our relation
    2. The x values are the x-coordinates and the y values are the y-coordinates
    1. To find the inverse, we have to switch the x and y values of the ordered pairs in our relation
    2. The x values are the x-coordinates and the y values are the y-coordinates
    1. This will be the x-y table for the inverse of our relation
    1. To find the inverse, we have to switch the x and y values of the ordered pairs in our relation
    2. The x' values are the y-coordinates from the original relation and the y' values are the x-coordinates from the original relation
    1. To find the inverse, we have to switch the x and y values of the ordered pairs in our relation
    2. The x' values are the y-coordinates from the original relation and the y' values are the x-coordinates from the original relation
    1. Our relation is a set of ordered pairs {(0,2),(3,4),(-3,-2),(2,4)}
    2. We already switched the values for the first ordered pair
    1. The inverse of our relation is {(2,0),(4,3),(-2,-3),(4,2)}
    1. Find the domain and range of {(2,0),(4,3),(-2,-3),(4,2)}
    1. Remember, our inverse is still just a set of ordered pairs, so each element has an x and a y value
    2. We already switched the values for the first ordered pair
    1. The inverse of our relation is {(2,0),(4,3),(-2,-3),(4,2)}
    2. Remember, our inverse is still just a set of ordered pairs, so each element has an x and a y value
    1. So our domain is just {2,4,-2}
    1. Remember, our inverse is still just a set of ordered pairs, so each element has an x and a y value
    1. The inverse of our relation is {(2,0),(4,3),(-2,-3),(4,2)}
    2. Remember, our inverse is still just a set of ordered pairs, so each element has an x and a y value