In mathematics, a function is like a machine that takes an input, performs a specific operation, and produces an output. Think of it as a rule that assigns each input value to exactly one output value. Understanding functions is essential for grasping more advanced math concepts.
This worksheet will help you practice identifying key vocabulary related to functions, filling in the blanks to reinforce your understanding, and thinking critically about how functions are used in mathematics.
Match the term with its correct definition:
| Term | Definition |
|---|---|
| 1. Domain | A. The set of all possible output values of a function. |
| 2. Range | B. A relation where each input has only one output. |
| 3. Function | C. A symbol representing a value that can change. |
| 4. Variable | D. The set of all possible input values of a function. |
| 5. Independent Variable | E. The input value of a function, often denoted by 'x'. |
A ________ is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. The ________ of a function is the set of all possible input values, while the ________ is the set of all possible output values. The input is also known as the ________ variable, and the output is the ________ variable.
Explain, in your own words, why it is important for each input of a function to have only one output. What would happen if an input had multiple outputs?
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