PSAT Math

A comprehensive guide to mastering the math concepts tested on the PSAT, including real-world applications and testing strategies.

Numbers and OperationsAlgebraic Expressions and EquationsData Analysis and Problem Solving
Functions and Their PropertiesGeometry and MeasurementSystems of Equations and Inequalities
Budgeting and Financial LiteracyTravel and Distance CalculationsSports Statistics and Analysis
Time Management on the PSATGuessing and Elimination Strategies
Numbers and Operatio...Algebraic Expression...Data Analysis and Pr...Functions and Their ...Geometry and Measure...Systems of Equations...Budgeting and Financ...Travel and Distance ...Sports Statistics an...Time Management on t...Guessing and Elimina...
Advanced Topics

Functions and Their Properties

What Is a Function?

A function is like a machine: you put in a number (input), and it gives you a result (output) following a specific rule.

Identifying Functions

Each input has exactly one output. You might see functions represented as equations, tables, or graphs.

Key Properties

Learn about domain (all possible inputs) and range (all possible outputs). Recognizing these helps you interpret graphs and solve real-world problems.

PSAT Focus

The PSAT may ask you to evaluate functions or interpret function notation, like \(f(x)\).

Key Formula

\[f(x) = 2x + 5\]

Examples

  • If \(f(x) = 2x + 5\), then \(f(3) = 2 \times 3 + 5 = 11\).

  • A vending machine that gives you a snack for every dollar is like a function: each dollar (input) gives one snack (output).

In a Nutshell

Functions connect inputs to outputs—a foundational concept for higher math.

Key Terms

Domain
All possible input values for a function.
Range
All possible output values for a function.
Function Notation
A way to name functions, like \(f(x)\).
Next
Geometry and Measurement