In Algebra 1, the domain of a function is the set of all possible input values (usually $x$) that will produce a valid output. The range is the set of all possible output values (usually $y$) that result from using the domain values. Think of it like a machine: the domain is what you can put into the machine, and the range is what comes out.
Activity sheets are designed to help you practice identifying and expressing the domain and range of various functions, whether they are represented graphically, as a set of ordered pairs, or as an equation. These worksheets will help you develop a deeper understanding of functions and their behavior.
Match the following terms with their definitions:
| Term | Definition |
|---|---|
| 1. Domain | A. The set of all possible output values of a function. |
| 2. Range | B. A relation where each input has exactly one output. |
| 3. Function | C. The set of all possible input values of a function. |
| 4. Independent Variable | D. A visual representation showing the relationship between two variables. |
| 5. Graph | E. The input value (usually $x$) in a function. |
(Match the numbers with the letters. Example: 1-C)
Complete the following paragraph using the words: output, input, domain, range, function.
A _________ is a relation where each _________ has exactly one _________. The set of all possible _________ values is called the _________, and the set of all possible _________ values is called the _________.
Explain, in your own words, why it's important to understand the domain and range of a function. Give a real-world example where knowing the domain and range would be useful.
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