In mathematics, a relation is simply a set of ordered pairs. Think of it as a connection between two sets of data, called the domain (input) and the range (output). A function is a special type of relation where each element in the domain is paired with exactly one element in the range. Mapping diagrams are visual tools to represent these relationships, showing how elements from the domain 'map' to elements in the range. If any input value has more than one output value, then that relationship is not a function.
Match each term with its correct definition:
| Term | Definition |
|---|---|
| 1. Domain | A. A relation where each input has only one output. |
| 2. Range | B. A set of ordered pairs. |
| 3. Relation | C. The set of all possible input values. |
| 4. Function | D. A visual representation of a relation. |
| 5. Mapping Diagram | E. The set of all possible output values. |
Complete the following paragraph using the words: function, domain, range, relation, mapping diagram.
A ___________ is a set of ordered pairs. A special type of ___________ is a ___________, where each element in the ___________ is paired with only one element in the ___________ . A ___________ helps visualize this association.
Consider a mapping diagram where several elements in the domain map to the same element in the range. Explain whether this relation can still be considered a function. Why or why not?
Please log in to post your answer.
Log InEarn 2 Points for answering. If your answer is selected as the best, you'll get +20 Points! 🚀