GED Math

Comprehensive study of ged math covering fundamental concepts and advanced applications.

Numbers and OperationsAlgebraic ThinkingGeometry Essentials
Functions and GraphsData Analysis and ProbabilitySolving Word Problems
Budgeting and Personal FinanceMeasurement in Daily LifeMath in Careers
Time Management for the GED Math TestElimination and Guessing Strategies
Numbers and Operatio...Algebraic ThinkingGeometry EssentialsFunctions and GraphsData Analysis and Pr...Solving Word Problem...Budgeting and Person...Measurement in Daily...Math in CareersTime Management for ...Elimination and Gues...
Advanced Topics

Functions and Graphs

What is a Function?

A function connects each input to exactly one output. It's like a math machine: put in a number, and out comes another number based on a rule.

Notation and Examples

If \(f(x) = 2x + 1\), then plugging in \(x = 3\) gives \(f(3) = 2(3) + 1 = 7\).

Graphing Functions

You can draw a picture of a function on an \(xy\)-plane. Each point \((x, y)\) follows the rule of the function.

Real-World Connections

Functions describe things like calculating pay based on hours worked or converting temperatures from Celsius to Fahrenheit.

Key Formula

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

Examples

  • Graphing \(y = 3x + 2\) to see how \(y\) changes with \(x\)

  • Using a function to convert Celsius to Fahrenheit: \(F(x) = 1.8x + 32\)

In a Nutshell

Functions show relationships between variables and can be represented visually with graphs.

Key Terms

Function
A rule that assigns each input exactly one output.
Graph
A visual representation of mathematical relationships.
Slope
The rate at which a line rises or falls.
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Data Analysis and Probability