Gallery for Families of Functions

The following is a gallery of demos for illustrating selected families of functions These animations can be used by instructors in a classroom setting or by students to aid in acquiring a visualization background relating to the change of parameters in expressions for functions. Two file formats, gif and mov are available.

1. The gif animations should run on most systems and the file sizes are relatively small.

2. The mov animations require the QuickTime Player (version 6) which is a free download available by clicking here; these files are also small. (The mov files may not execute properly in older versions of QuickTime.)

3. The collection of animations in gif and mov format can be downloaded; see the 'bulk' zipped download category at the bottom of the following table.

4. We use abbreviations, GSP for Geometer's Sketch Pad 4 and EX for Excel spread sheet, to indicate the software used to generate the frames of the animation. If alternate corresponding software is also available there will be more than one abbreviation in that category.

Polynomials, Power Functions, & Rational Functions

 Constant functions, y = c GSP Vary c: Gif Animation     Mov Animation Linear functions, y = mx + b GSP Vary m: Gif Animation     Mov Animation Vary b: Gif Animation      Mov Animation Absolute value functions, y = a |x - b| + c GSP Vary a: Gif Animation      Mov Animation Vary b: Gif Animation      Mov Animation Vary c: Gif Animation      Mov Animation Greatest integer functions, y = a [bx - c] GSP Vary a: Gif Animation      Mov Animation Vary b: Gif Animation      Mov Animation Vary c: Gif Animation      Mov Animation Quadratic function y = ax2 + bx + c GSP Vary a: Gif Animation      Mov Animation Vary b: Gif Animation      Mov Animation Vary c: Gif Animation      Mov Animation Quadratic function y = a(x - h)2 + k GSP Vary a: Gif Animation      Mov Animation Vary h: Gif Animation      Mov Animation Vary k: Gif Animation      Mov Animation Cubic function y = ax3+bx2+cx+d GSP Vary a: Gif Animation      Mov Animation Vary b: Gif Animation      Mov Animation Vary c: Gif Animation      Mov Animation Vary d: Gif Animation      Mov Animation Square Root GSP Vary a: Gif Animation     Mov Animation Vary b: Gif Animation     Mov Animation Vary c: Gif Animation      Mov Animation Cube Root GSP Vary a: Gif Animation     Mov Animation Vary b: Gif Animation     Mov Animation Vary c: Gif Animation      Mov Animation Power function GSP Vary b: Gif Animation     Mov Animation Reciprocal function GSP Vary a: Gif Animation     Mov Animation Vary b: Gif Animation     Mov Animation Reciprocal of x2 function GSP Vary a: Gif Animation     Mov Animation Vary b: Gif Animation     Mov Animation Reciprocal of x3 function GSP Vary a: Gif Animation     Mov Animation Vary b: Gif Animation     Mov Animation