Functions and Patterns

## Recognizing Relationships Functions describe how one quantity changes in relation to another. Patterns help us predict what comes next, which is essential in science, finance, and technology. ### Understanding Functions A function links each input to a single output. Think of it as a vending machine: you put in a code (input) and get a snack (output)! The notation \( f(x) \) means the function gives a result based on \( x \). ### Sequences and Patterns Sequences are ordered lists of numbers following a rule, like 2, 4, 6, 8,... Recognizing patterns helps in forecasting trends or solving puzzles. ### Real-World Connections Patterns and functions are used to model population growth, predict weather, and design computer programs.