Algebra Applets

Bubble Charts

Allows the user to create a list of values based on a function given. Also displays the graph of the function as points or as a connected graph so that students understand the relationship between points and graphs. It can also find the difference between y-values which allows the user to get a concept of interpreting derivatives.

Domain and Range of Functions

Allows the user to visually see the relationship between a graph and its domain or range. You can enter any rectangular function in the form y = f(x), any polar function in the form r = f(t), a parametric function in the form [x(t), y(t)], a point as [x, y], or an open circle as (x, y). Piecewise defined functions are also permitted - you can separate multiple functions using semicolons, and you can restrict the domain of a function by entering a domain in the form (-2, 5], (-inf, 4), etc.

Horizontal and Vertical Line Test

Demonstrates the horizontal and vertical line tests for a graph to determine if a relation is a function or is a one-to-one function. You can enter any rectangular function in the form y = f(x), any polar function in the form r = f(t), a parametric function in the form [x(t), y(t)], a point as [x, y], or an open circle as (x, y). Piecewise defined functions are also permitted - you can separate multiple functions using semicolons, and you can restrict the domain of a function by entering a domain in the form (-2, 5], (-inf, 4), etc.

Graphing Lines

Demonstrates the relationship between the equations and graphs of horizontal, vertical, and oblique lines.

Transformations of Functions

Demonstrates the effects of horizontal shifts, vertical shifts, and constant multipliers on the basic elementary functions.

Graphs and Zeros of Polynomial Functions

Allows user to observe the effect on a polynomial graph each time a new zero is added to the polynomial. Zeros can be integer, rational, or complex.