Praxis Math

Praxis Mathematics examination for teacher certification.

Advanced Topics

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.

Key Formula

\[f(x) = mx + b\]

Examples

  • Using a linear function to predict earnings based on hours worked.

  • Identifying the next number in a repeating pattern.

In a Nutshell

Functions and patterns help us model and predict real-world behavior.

Key Terms

Function
A relation that assigns exactly one output for each input.
Sequence
An ordered list of numbers that follow a particular pattern.