Function Builder: Basics

Function Builder: Basics Screenshot  Download  Embed
  • Functions
  • Transformations
  • Ordered Pairs


  • Functions
  • Transformations
  • Ordered Pairs


Play with functions while you ponder Art History. Look for patterns, then apply what you learned on the Mystery screen!

Sample Learning Goals

  • Define a function as a rule relating each input to exactly one output and predictably acting on inputs
  • Predict outputs of a function using given inputs
  • Compose functions to create a new function
  • Determine which functions are geometric transformations

Standards Alignment

Common Core - Math

Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.1
(+) Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.
Find inverse functions.
Version 1.0.14

Teacher Tips

Download teacher tips PDF Overview of sim controls, model simplifications, and insights into student thinking ( PDF ).

Video Primer

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Teacher-Submitted Activities

Funky Functions A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Mary Burr MS Discuss
Middle School Math Sim Alignment This contribution was designed by PhET. Amanda McGarry MS Other Mathematics
Defining Functions Amy Goodman K-5 Lab
Funciones divertidas A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Mary Burr (Traducción por Mayra Tavares) MS Guided
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) This contribution was designed by PhET. Diana López MS
Other Chemistry
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) This contribution was designed by PhET. Diana López K-5
Testando o PhET Carlos Santi UG-Intro Lab Physics

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Bosnian All Bosanski Download Run now Graditelj jednačina: osnove
Chinese (Simplified) All 中文 (中国) Download Run now 函数构造器:基础
Chinese (Traditional) All 中文 (台灣) Download Run now Function Builder: Basics_函數:基礎
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French All français Download Run now Constructeur de fonctions: Les bases
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Polish All polski Download Run now Tworzenie funkcji - podstawy
Portuguese (Brazil) All português (Brasil) Download Run now Construtor de Funções: Básico
Russian All русский Download Run now Основы функциональной зависимости
Serbian All Српски Download Run now Градитељ једначина: основе
Slovak All Slovenčina Download Run now Tvorba funkcií: základy
Spanish All español Download Run now Generador de funciones: Intro Download teacher tips PDF
Spanish (Mexico) All español (México) Download Run now Generador de Funciones: Intro Download teacher tips PDF
Spanish (Peru) All español (Perú) Download Run now Creador de Funciones:Conceptos Básicos
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iOS 12+ Safari
iPad compatible sims

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Latest version of Google Chrome
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Chromebook compatible sims

Windows Systems:
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Macintosh Systems:
macOS 10.13+, Safari 13+, latest version of Chrome.

Linux Systems:
Not officially supported. Please contact with troubleshooting issues.

Design Team Third-party Libraries Thanks To
  • Amanda McGarry (lead designer)
  • Chris Malley (developer)
  • Amy Hanson
  • Karina K. R. Hensberry
  • Ariel Paul
  • Kathy Perkins
  • Sam Reid
  • Beth Stade
  • David Webb
  • Cheryl McCutchan (graphic arts)
  • almond-0.2.9.js
  • base64-js-1.2.0.js
  • BigInteger-cda5bcc.js
  • BigRational-8f8c2fa.js
  • easing-equations-r12
  • FileSaver-b8054a2.js
  • font-awesome-4.5.0
  • game-up-camera-1.0.0.js
  • himalaya-0.2.7.js
  • jama-1.0.2
  • jquery-2.1.0.js
  • lodash-4.17.4.js
  • pegjs-0.7.0.js
  • seedrandom-2.4.2.js
  • text-2.0.12.js
  • TextEncoderLite-3c9f6f0.js
  • Tween-r12.js