Final answer:
- - The given relation {(1,2),(2,4),(3,6),(4,8),(5,10)} indeed represents a function.
- - The domain of the function is {1, 2, 3, 4, 5}.
- - The codomain of the function is {2, 4, 6, 8, 10}.
- - The range of the function is {2, 4, 6, 8, 10}.
Step-by-step explanation:
The given relation {(1,2),(2,4),(3,6),(4,8),(5,10)} represents a function. A relation is considered a function if each input has a unique output. In this case, each x-value (input) is paired with a unique y-value (output).
To determine the domain, codomain, and range of the function:
1. The domain of the function is the set of all x-values (inputs). In this case, the domain would be {1, 2, 3, 4, 5}, as these are the x-values in the given relation.
2. The codomain of the function is the set of all possible y-values (outputs). Since the given relation assigns each x-value to a corresponding y-value, the codomain would be {2, 4, 6, 8, 10}, which represents all the possible y-values in the relation.
3. The range of the function is the set of all actual y-values (outputs). In this case, the range would also be {2, 4, 6, 8, 10}, as these are the y-values that appear in the given relation.
Your question is incomplete, but most probably the full question was:
Determine whether each of the following represent functions. Explain. If the relation is a function, determine the domain, codomain, and range.
{(1,2),(2,4),(3,6),(4,8),(5,10)}