Teachers can browse by activities to find suitable picks to use in class or to set as homework. These include marble-sliding games that have students transform periodic functions by trying to slide marbles through points on a graph. Desmos can also be used as a four-function calculator...
They are called “symmetric” not because their graph showssymmetry, but because they remain the same if you permute their roots. As far as graphing, the graph of any symmetric polynomial would look exactly the same no matter which variables you switch around. If the graph changes, then the ...
How to graph a Fourier series?Fourier series:A fourier series is a periodic function composed of harmonically related sinusoids and combined be a weighted summation. With appropriate weights, one cycle of summation can be made to approximate an arbitrary function in that interval....
All functions have certain properties, or distinct features, which can be very useful when trying to analyze them. The following common properties of functions describe how a graph is shaped, what happens as x-values increase, and whether the functions can be further analyzed with calculus: Domai...
Quintic functions don’t have to have such a well defined graph though. The following function is a quintic that is fairly flattened: Derivative of a Quintic Function The derivative of a quintic function is a quartic function. As an example, the derivative of: f(x) = x5 − 4x + 2 ...
(Dettman, 2012). However, theycanbe defined on an interval of one time period (e.g. -T/2, T/2) to enable expression by aFourier series. An alternative is to analyze the signals or functions withLaplace transform(which converts areal-valued function(like time) to acomplex-valued ...