Function Toolkit
C. James P. Dildine, 2000

Purpose

This page is designed to help students develop their ability to recognize graphs of functions. These graphs depict relationships between variables. This page offers an introduction to recognizing the shapes that graphical relationships take over a certain X-interval.

Audience

Anyone who is facing an introduction to graphs of functions in either an Algebra, Advanced Algebra, or Coordinate Geometry course would encounter a beneficial experience while using this page.

Function Toolkit Explanation

Certain graphs of functions are very important to mathematicians and scientists for their use and form as a basis for exploring other functions. These functions make up what may be called a "toolkit" in that mastery of these basic tools will make exploring additional functions much more accessible. 12 functions are explored here making up this toolkit

• Constant Function -
• Linear Function -
• Cubic Function -
• Quartic Function -
• Square Root Function -
• Exponential and Log Functions -
• Inverse Function -
• Trig Functions (Sine, Cosine) -
• Absolute Value Function -

This Web Site utilizes JavaSketchPad from Key Curriculum Press. Geometer's Sketchpad Files are converted into Java and are imbedded in Web Documents for Interactive Web Sites.

To Use these JSP Files:

• Wait for the Applet to Load it will take a few moments the first time but after it loads the rest will load much quicker.
• Try Manipulating the Sketch by moving the Red Points "Range", "Move", and "Recenter"
• "Move" Represents our X Values - Move it to values like 2, -3, 4.5, etc...
• "Range" Modifies the Range Displayed
• "Recenter" Lets you see more detailed parts of the graph in certain quadrants
• Hit "r" To reset the Sketch
• Click the "X" in the Bottom Right of the Sketch to clear the Function Traces
C. James P. Dildine, 2000
jpd, 2000