Selecting Domain and Range of a Relation
What are the domain and range of the given relation?
Choose the correct sets for the domain and range:
a. {monarch butterfly, honeybee, praying mantis, firefly}
b. {Alabama, Arkansas, Connecticut, Georgia, Idaho, Pennsylvania, Oklahoma, Texas}
Answer:
The relation's domain is the set of states, and the range is the set of insects.
The question requires us to determine the domain and range of a relation consisting of pairs with the first element as a state and the second element as an insect. The domain is the set of all the states involved in the relation, while the range is the set of all the insects mentioned.
For the given relation, the correct domain set is {Alabama, Arkansas, Connecticut, Georgia, Idaho, Pennsylvania, Oklahoma, Texas}. At the same time, the correct range set is {monarch butterfly, honeybee, praying mantis, firefly}.
Therefore, the accurate answer combines option (b) for the domain and option (a) for the range.