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Function Visualizer Model

written by
Wolfgang Christian and
Francisco Esquembre

The Function Visualizer Model displays the graph of a function f(x) with arbitrary parameters. The function can contain polynomial, trigonometric, and exponential expressions as well a parameters. Parameters are connected to sliders that can be adjusted to observe the effect of varying parameter values.

This item was created with Easy Java Simulations (EJS), a modeling tool that allows users without formal programming experience to generate computer models and simulations. To run the simulation, simply click the Java Archive file below. To modify or customize the model, See Related Materials for detailed instructions on installing and running the EJS Modeling and Authoring Tool.

Please note that this resource requires
at least version 1.5 of
Java (JRE).

Function Visualizer Model for Teachers
A customizable function visualizer model that allows teachers to set the display parameters. The customized simulation is automatically saved with associated curricular in a new jar file that can be redistributed. download 1107kb .jar
Last Modified: July 21, 2012
previous versions

Function Visualizer for Teachers Model: Additional Documentation Regarding Customization
A pdf file that provides additional documentation regarding customization of this simulation. download 181kb .pdf
Published: July 12, 2012
previous versions

Wave Function with Unknown Sliders Problem
Problem worksheet for the Wave Function with Unknown Sliders Problem exercise. download 83kb .pdf
Published: July 13, 2012

Wave Function with Unknown Sliders Problem Simulation
Simulation for the Wave Function with Unknown Sliders Problem exercise. download 1080kb .jar
Published: July 13, 2012
previous versions

Kinematics Function with Unknown Sliders Problem
Problem worksheet for the Kinematics Function with Unknown Sliders Problem exercise. download 83kb .pdf
Published: July 13, 2012

Kinematics Function with Unknown Sliders Problem Simulation
Simulation for the Kinematics Function with Unknown Sliders Problem exercise. download 1080kb .jar
Published: July 13, 2012

Two-Slit Interference Intensity Function with Unknown Sliders Problem
Problem worksheet for the Two-Slit Interference Intensity Function with Unknown Sliders exercise. download 116kb .pdf
Published: July 13, 2012

Two-Slit Interference Intensity Function with Unknown Sliders Simulation
Simulation for the Two-Slit Interference Intensity Function with Unknown Sliders Problem exercise. download 1117kb .jar
Published: July 13, 2012

Function Visualizer Model source code
Source Code for the Function Visualizer Model. The source code archive contains an XML representation of the EJS model. Unzip this archive in your EJS Workspace to compile and run this model using Ejs. download 27kb .zip
Last Modified: June 6, 2014
previous versions

Function Visualizer for Teachers Source Code
Source Code for Function Visualizer Model for Teachers for Teachers. The source code archive contains an XML representation of the EJS model. Unzip this archive in your EJS Workspace to compile and run this model using Ejs. download 33kb .zip
Last Modified: July 21, 2012
previous versions

9-12: 9B/H4. Tables, graphs, and symbols are alternative ways of representing data and relationships that can be translated from one to another.

9-12: 9B/H5. When a relationship is represented in symbols, numbers can be substituted for all but one of the symbols and the possible value of the remaining symbol computed. Sometimes the relationship may be satisfied by one value, sometimes by more than one, and sometimes not at all.

11. Common Themes

11B. Models

9-12: 11B/H2. Computers have greatly improved the power and use of mathematical models by performing computations that are very long, very complicated, or repetitive. Therefore, computers can reveal the consequences of applying complex rules or of changing the rules. The graphic capabilities of computers make them useful in the design and simulated testing of devices and structures and in the simulation of complicated processes.

AAAS Benchmark Alignments (1993 Version)

9. THE MATHEMATICAL WORLD

B. Symbolic Relationships

9B (9-12) #6. The reasonableness of the result of a computation can be estimated from what the inputs and operations are.

W. Christian and F. Esquembre, Computer Program FUNCTION VISUALIZER MODEL (2009), WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=9190&DocID=1232).

W. Christian and F. Esquembre, Computer Program FUNCTION VISUALIZER MODEL (2009), <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=9190&DocID=1232>.

Christian, W., & Esquembre, F. (2009). Function Visualizer Model [Computer software]. Retrieved April 29, 2016, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=9190&DocID=1232

Christian, Wolfgang, and Francisco Esquembre. "Function Visualizer Model." http://www.compadre.org/Repository/document/ServeFile.cfm?ID=9190&DocID=1232 (accessed 29 April 2016).

%A Wolfgang Christian %A Francisco Esquembre %T Function Visualizer Model %D June 27, 2009 %U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=9190&DocID=1232 %O application/java

%0 Computer Program %A Christian, Wolfgang %A Esquembre, Francisco %D June 27, 2009 %T Function Visualizer Model %8 June 27, 2009 %U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=9190&DocID=1232

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