๐ Topic Summary
In mathematics, a function is like a machine. You put a number in (the input), the machine does something to it according to a specific rule, and then a new number comes out (the output). This worksheet helps you practice identifying the rule that connects the input and output. For example, if the input is 2 and the output is 4, the rule might be 'multiply by 2'. Functions can be represented in tables, equations, or graphs.
๐ง Part A: Vocabulary
Match each term with its correct definition:
| Term |
Definition |
| 1. Input |
A. The result obtained after applying a function rule to an input. |
| 2. Output |
B. A relationship where each input has only one output. |
| 3. Function |
C. A mathematical statement showing the relationship between two expressions. |
| 4. Equation |
D. The value that is entered into a function. |
| 5. Rule |
E. The operation(s) performed on the input to get the output. |
โ๏ธ Part B: Fill in the Blanks
Complete the paragraph below using the correct words.
A ________ is like a machine. You put in an ________, and you get an ________. The ________ tells you what to do with the input to get the output. In order for something to be a function, each input must have only one ________.
๐ค Part C: Critical Thinking
Explain, in your own words, why it's important for each input in a function to have only one output. What would happen if an input could produce multiple outputs?