The zoo of functions
Online tools
Webmath: Check out the Algebra section for online tools for simplifying and factoring polynomials. Similarly, look at the Trigonometry section for online tools for simplifying trigonometric expressions. [Discovery.com]
Applets
Functions Page 2: A series of applets on recognizing rational functions and trigonometric functions. [Maths online]
Simple graph applet: Graphs functions with a moving cursor to mark the coordinates of points on the graph. [Hobart and William Smith Colleges]
The straight line: An applet which lets you plot various lines using sliders. [MathInSite]
The parabola: An applet which lets you plot various parabolas using sliders. [MathInSite]
Cubics: An applet which lets you plot various cubic polynomials using sliders. [MathInSite]
Multi-graph applet: Allows you to graph several functions in different colors on one window. [Hobart and William Smith Colleges]
Function composition applet: This links together the graph of two functions with the graph of the function defined by the composition of these two functions. [David Eck]
Transformation of functions: See the various transformations in effect with this interactive applet. [Visual calculus]
Animated graph applet: Animates a function as a single parameter moves through a specified range of values. [Hobart and William Smith Colleges]
Slider graph applet: Graph any function with up to three parameters, and see how changing those numbers affects shifts, stretches, and reflections in the function's graph. [David Eck]
Transformation of exponential functions: A Java applet which lets you see how the transformations affect exponential functions. [Visual calculus]
The exponential function: An applet which lets you plot various exponentials using sliders. [MathInSite]
Transformations of logarithmic functions: A Java applet which lets you see how the transformations affect logarithms. [Visual calculus]
The trigonometric functions: An applet which lets you plot various trigonometric functions using sliders. [Hobart and William Smith Colleges]
Interactive transformation applet: See how transformations affect the shape of the graph on a large library of function.
Factoring a polynomial: Applet attempts to factor a polynomial over the integers (more or less). [Vanderbilt toolbox]
Solving a polynomial equation: Finds all solutions of two polynomials set equal. [Vanderbilt toolbox]
Complete the square: Completes the square of quadratic exressions. [Vanderbilt toolbox]
Simplifying an algebraic expression: Tries to find the "simplest" form for a given algebraic expression. [Vanderbilt toolbox]
Inverse functions: Calculates the inverse of a given function. [Vanderbilt toolbox]
Trigonometric simplifier: Simplifies expressions containing trigonometric and inverse trigonometric functions. [Vanderbilt toolbox]
Plotting functions on the same axes: Plots up to 5 different functions on different domains. [Vanderbilt toolbox]
Online problems
Interactive Tests: Test your algebraic manipulation skills with the tests under the Variables, terms, formulae, and identities section. Test your understanding of functions under the Functions 1. [Maths online]
Problems: Practice solving inequalities. [Exercises in math readiness]
Problems: A series of applets on visually recognizing polynomials. [Maths online]
Problems: Test your stretching and shifting skills with The Big Function Graph Puzzle. [Maths online]
Problems: Your simplifying skills a little rusty? Take this "Big Test of Term Manipulation" as often as you need to keep your factoring and expanding skills sharp. [Maths online]
Problems: Look at a two graphs and try to determine the transformations it takes to turn one into the other. Take the quiz more than once... it changes! [Visual calculus]
Problems: An interactive multiple-choice test on pulling out common factors from polynomials. [Maths online]
Problems: Several problems on finding the domain of a function, with solutions and explanations. [Visual calculus]
Problems: Practice undoing the composition of two functions. [Visual calculus]
Problems: Find the inverses of various functions. Comes with solutions and explanations. [Visual calculus]
Problems: Another such quiz. [Visual calculus]