Algebra Links
Interactive Algebra
Do as many problems as you need to, at whatever pace you wish to go.
The problems are generated at random. They're different every time.
Every time you get to see the answer, and how to do the problem!
Rational Functions Rational functions and the properties of their graphs such as domain, vertical and horizontal asymptotes, x and y intercepts are explored using an applet. The investigation of these functions is carried out by changing parameters included in the formula of the function. Each parameter can be changed continuously which allows a better understanding of the properties of the graphs of these functions. Once you finish with the present tutorial, you may want to another tutorial on rational functions to further explore the properties of these functions.
Every time you get to see the answer, and how to do the problem!
Rational Functions Rational functions and the properties of their graphs such as domain, vertical and horizontal asymptotes, x and y intercepts are explored using an applet. The investigation of these functions is carried out by changing parameters included in the formula of the function. Each parameter can be changed continuously which allows a better understanding of the properties of the graphs of these functions. Once you finish with the present tutorial, you may want to another tutorial on rational functions to further explore the properties of these functions.
Construction a Parabola This is an applet to construct a parabola from its definition. Definition: A parabola is the set of all points M in a plane such that the distance from M to a fixed point F, the focus, is equal to the distance from M to a fixed line called the directrix.
Equation of a Parabola This is an applet to explore the equation of a parabola and its properties. The equation used is the standard equation that has the form
Inverse Function The inverse function definition is explored using java applets. The conditions under which a function has an inverse are also explored.
Graphs of Functions This is an educational software that helps you explore concepts and mathematical objects by changing constants included in the expression of a function. The idea is to introduce constants ( up to 10) a, b, c, d, f, g, h, i, j and k into expressions of functions and change them manually to see the effects graphically then explore.
Exponential Functions Exponential functions are explored, interactively, using an applet. The properties such as domain, range, horizontal asymptotes, x and y intercepts are also investigated. The conditions under which an exponential function increases or decreases are also investigated.
Logarithmic Functions
An interactive large screen applet is used to explore logarithmic functions and the properties of their graphs such domain, range, x and y intercepts and vertical asymptote. Parameters included in the definition of the logarithmic function may be changed, using sliders, to investigate its properties. The continuous (small increments) changes of these parameters help in gaining a deep understanding of logarithmic functions.
Equation of Ellipse Problem This is a tutorial with detailed solutions to problems related to the ellipse equation. For an interactive tutorial on the equation of the ellipseInequality Tutorial This is a tutorial on solving polynomial and rational inequalities. Examples with step by step detailed solutions are presented
Quadratic Functions The graph of a quadratic function is "U" shaped and is called a parabola. The exploration is carried by changing the values of all 3 coefficients a, h and k. Once you finish the present tutorial, you may want to go through another tutorial on graphing quadratic functions.