This file has 5 tabs that illustrate important exponential models.In each tab the student may use the sliders in the lower left to explore the effects of the parameters in the model.The yellow high-lighted point on the x-axis may also be dragged to alter the function values in the upper right of the screen.
This file has 5 tabs that allow students to explore the reciprocal functions of 2nd and 3rd degree equations, simple rational functions, more complex rational functions with horizontal asymptotes and finally rational functions with slant asymptotes. Students can manipulate the roots of the numerator and denominator functions and see how these affect the behavior of a rational function.
This file allows students to drag the roots of polynomials along the x axis and examine both the global and local behavior of the graph. This helps students to see how the multiplicity of a root affects the local behavior of the graph. There are tabs for second, third, fourth, and fifth degree polynomials.
This file allows students to examine the effects of altering four parameters a, b, c, and d. These parameters create both rigid and non-rigid transformations of any function, f(x). There are six tabs that can be accessed at the bottom of the screen.