Final answer:
Without explicit functions for the relations, we cannot match them to the given domain and range with certainty, though we can infer that (b) representing a constant function can map to the value {3}.
Step-by-step explanation:
The student is tasked with matching each relation given in the form of simple expressions with the appropriate domain and range. Each relation represents a mathematical function, where the domain is the set of all possible input values and the range is the set of all possible output values.
Here is a step-by-step explanation for each relation:
- Relation (a) could be a linear function, but since not enough context is provided, we cannot conclusively determine the domain and range without the exact function.
- Relation (b) seems to reference a constant function with the value of 3, therefore, the domain given {-3, -1, 0, 3} can be mapped to a single point in the range, which is the constant value {3}.
- Relation (c), labeled as 1+, suggests an inverse relationship. Considering the given domain and range, the inverse relation will not produce values less than 1, hence this is incomplete information.
- Relation (d) indicated by 2+ could represent an exponential relationship where the range would increase rapidly for positive values in the domain, but again, more information is needed to accurately match domain and range.
It is important to note that without additional context or explicit functional forms for these labels, we cannot match the domain and range with certainty.