Think of a function as a machine. Input ( ): You put a value into the machine. Process ( ): The machine applies a specific rule to that input. Output ( ): The result is a new value. For example, in Key Aspects of Notation: is the name of the function, and indicates the variable used in the rule. Interchangeability with : In graphing, is often interchangeable with . The input ( ) and output ( ) form a coordinate pair
Evaluating a function means substituting a specific value for and solving. Key Takeaways is not multiplication: It does not mean . It is a single entity representing the output. Single Output: For every input , there is only one possible output Contextual Definitions Math: Think of a function as a machine
This notation allows you to handle multiple functions (e.g., ) without confusion. Output ( ): The result is a new value