![]() ![]() ![]() An applet helps you explore the horizontal shift of the graph 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. ![]() This is an educational software that helps you explore concepts and mathematical objects by changing constants included in the expression of a function. Several functions are explored graphically using the horizontal line test. Explore the concept of one-to-one function using an applet. One to One Functions and Inverse of a Function The graphs and properties such as domain, range and asymptotes of the 6 hyperbolic functions: sinh(x), cosh(x), tanh(x), coth(x), sech(x) and csch(x) are explored using an applet. Horizontal asymptotes of rational functions are explored interactively using a graphing calculator. Horizontal Asymptotes of Rational Functions - Interactive.Vertical asymptotes of rational functions are explored interactively using a graphing calculator. Vertical Asymptotes of Rational Functions - Interactive.Slant asymptotes are explored interactively using a graphing calculator. Slant Asymptotes of Rational Functions - Interactive.The investigation of these functions is carried out by changing the parameters included in the formula of the function. 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 properties such as domain, range, x and y intercepts, intervals of increase and decrease of the graphs of the two types of functions are compared in this activity. Exponential and power functions are compared interactively, using an applet. Compare Exponential and Power Functions.The logistics function is explored by changing its parameters and observing its graph. The Gaussian function is explored by changing its parameters. Rules of Logarithms and Exponentials - Questions with Solutions.An interactive large screen applet is used to explore logarithmic functions and the properties of their graphs such as domain, range, x and y intercepts and vertical asymptote. Find logarithmic Function Given its Graph examples with detailed solutions.Find exponential function given its Graph examples with detailed solutions.The conditions under which an exponential function increases or decreases are also investigated. The properties such as domain, range, horizontal asymptotes, x and y intercepts are also investigated. Exponential functions are explored, interactively, using an HTML5 app. Absolute value functions definition and graph are explored, using an HTML5 app, by comparing the graphs of f(x) and h(x) = |f(x)|. Graphical and analytical examples with solutions of periodic functions. Graphical and analytical examples on even and odd functions. This property is explored interactively using an applet. The Product of Two Linear Functions Gives a Quadratic Function.Quadratic functions in standard form f(x) = a(x - h) 2 + k and the properties of their graphs such as vertex and x and y intercepts are explored, interactively, using an applet. ![]() Quadratic functions and the properties of their graphs such as vertex and x and y intercepts are explored interactively using an applet. A tutorial using a large window applet to explore the graphs, domains and ranges of some of the most common functions used in mathematics.
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