Math Problem Statement

Find the domain and range of the given relation: (-1, -4), (1, 1), (3, 6), (-4, -7), (-10, 9).

Solution

To find the domain and range of the given relation, we need to identify the sets of first and second elements from each pair, respectively.

Given pairs:

  • (-1, -4)
  • (1, 1)
  • (3, 6)
  • (-4, -7)
  • (-10, 9)

Domain: The domain is the set of all first elements: 1,1,3,4,10-1, 1, 3, -4, -10. So, the domain is {10,4,1,1,3}\{-10, -4, -1, 1, 3\}.

Range: The range is the set of all second elements: 4,1,6,7,9-4, 1, 6, -7, 9. So, the range is {7,4,1,6,9}\{-7, -4, 1, 6, 9\}.

The correct answer is:

  • domain: {10,4,1,1,3}\{-10, -4, -1, 1, 3\}
  • range: {7,4,1,6,9}\{-7, -4, 1, 6, 9\}