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.
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.
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. Nine functions are explored here making up this toolkit
Function Grapher (now you can try them out)
Please note that the function grapher does not create very accurate graphs with specific point-by-point relatinships. Rather, the function grapher displays basic characteristics of the function over the X-interval that you choose.
This environment is certainly not ideal for viewing functions of any kind. One faces several limitations with this internet environment. The least of which is cera=tainly not the lacking ability to choose your own function to graph beyond those already presented.
For that level of exploration I advise you to invest in software or a graphing calculator that will create graphs from user-authored functions:
Examples: