Final answer:
The domain and range for the first set of relations are {0, 3, 4} and {-2, 1, 2, 4}, respectively. For the second set of relations, both domain and range are {-4, -3, 0, 4}. This categorizes the relations based on their x and y values.
Step-by-step explanation:
To find the domain and range of each relation, we examine the x-values (which determine the domain) and the y-values (which determine the range) for each set of ordered pairs.
First Set of Relations:
The ordered pairs are (3,-2), (4,4), (0, -2), (4,1), (3,2). The domain consists of the unique x-values, which are {0, 3, 4}. The range is the set of y-values, which are {-2, 1, 2, 4}. Since the relation has repeated x-values for the points (4,4) and (4,1), we use the unique x-values only for the domain.
Second Set of Relations:
The ordered pairs are (0,4), (4,0), (-3,-4), (-4,-3). The domain of this set is {-4, -3, 0, 4}, and the range is {-4, -3, 0, 4}.
Combined Information:
-
- Domain for the first set of relations: {0, 3, 4}
-
- Range for the first set of relations: {-2, 1, 2, 4}
-
- Domain for the second set of relations: {-4, -3, 0, 4}
-
- Range for the second set of relations: {-4, -3, 0, 4}
Now, to organize the given task:
-
- A. Provide the domain and range for the first set of relations: {0, 3, 4}, {-2, 1, 2, 4}. Then provide the domain and range for the second set of relations: {-4, -3, 0, 4}, {-4, -3, 0, 4}.
-
- B. Provide the domain for the first set of relations: {0, 3, 4}. Then provide the range for the second set of relations: {-4, -3, 0, 4}.
-
- C. Provide the range for the first set of relations: {-2, 1, 2, 4}. Then provide the domain for the second set of relations: {-4, -3, 0, 4}.
-
- D. Provide both the domain and range for both sets of relations: First set: {0, 3, 4}, {-2, 1, 2, 4}. Second set: {-4, -3, 0, 4}, {-4, -3, 0, 4}.