📚 Topic Summary
In mathematics, the domain of a function is the set of all possible input values (often $x$ values) that will produce a valid output. The range, on the other hand, is the set of all possible output values (often $y$ values) that result from using the domain. When given a table of values, identifying the domain and range involves simply listing the $x$ and $y$ values respectively. Understanding these concepts is fundamental for grasping functions and their behavior. This activity will help you practice identifying the domain and range from tables.
🧮 Part A: Vocabulary
Match the following terms with their definitions:
| Term |
Definition |
| 1. Domain |
A. The set of all possible output values. |
| 2. Range |
B. A relation where each input has only one output. |
| 3. Function |
C. The set of all possible input values. |
| 4. Input |
D. A value that is put into a function or relation. |
| 5. Output |
E. A value that results from a function or relation. |
Match the term to the definition. For example: 1-C
✍️ Part B: Fill in the Blanks
Complete the following sentences using the words provided:
(range, domain, input, output, function)
- The set of all possible $x$ values is called the __________.
- The result of using an $x$ value in a __________ is called the __________.
- The $x$ value put into the function is called the __________.
- The set of all possible $y$ values is called the __________.
- A __________ is a relation where each $x$ has only one $y$.
🤔 Part C: Critical Thinking
Explain, in your own words, why it's important to understand the domain and range of a function. Provide a real-world example where understanding domain and range would be useful.