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### High School Mathematics8.7 Domain and Range of a Relation

 Relation: A relation is a set of ordered pairs. Every set of ordered pairs is a relation we use the letter 'R' to denote a relation. Domain: The set of first coordinates of all the ordered pairs of a relation R is called the domain of R. Range: The set of second coordinates of the ordered pairs of a relation R is called the range of R. Example: If R = {(1,2),(2,4),(4,8),(8,16)} is a relation then find its domain and range Solution: Domain of R = The set of all first coordinates of members of R. = {1,2,4,8} Range of R = The set of all second coordinates of members of R. = {2,4,8,16} Directions: Find the domaine and range of the following relation. Also write at least ten examples of your own.
 Q 1: If R = {(1,1),(2,2),(3,3),(4,5)} is a relation then find its domain.{1,2,5}{1,2,3,5}{1,3,5}{1,2,3,4} Q 2: If R = {(3,1),(5,2),(7,3),(9,4)} is a relation then find its domain.{3,5,7,9}{2,3,4}{1,2,3,4}{2,3,4,7} Q 3: If R = {(1,3),(2,5),(3,7),(4,9)} is a relation then find its range.{1,,3,4}{3,5,7,9}{1,3,4,9}{1,2,3,4} Q 4: If R = {(1,2),(2,3),(3,4),(4,5)} is a relation then find its range.{2,3,4,5}{3,4,5,6}{1,2,3,4}{2,3,4,5} Q 5: If R = {(1,2),(3,4),(5,6)} is a relation then find its range.{1,3,4}{1,2,3}{2,4,6}{1,3,5} Q 6: If R = {(1,2),(2,3),(3,4),(4,5)} is a relation then find its domain.{2,3,4,5}{1,2,2,3}{3,4,5}{1,2,3,4} Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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