Contour
Cartesian noodles
A collection of applets drawn from the mathmindhabits website (see link below) in which the graphs of functions of one variable can be manipulated and deformed. [N.B. Aside from the Calculus workbench in the first chapter all of the functions in these applets are piecewise polynomial.]
Why the very odd name for this collection of applets?
In each section of its domain the graph of a function is treated either as an uncooked noodle having a particular kind of shape or as a flexible cooked noodle.
A graph of a linear function is in the shape of an uncooked noodle and can be translated and reflected and even rotated but not dilated. Sections of the graphs of other functions in some applets can be dilated, translated and in some cases rotated.
In a more general case, a set of beads (represented by BLUE dots) on a horizontal cooked noodle can be displaced vertically - thereby turning the shape of the noodle into the graph of a function in the x,y plane.
In this collection I am trying to capture in the word 'noodles' a variety of possibilities for manipulating and deforming the graphs of functions and how such manipulation and deformation can lead to deeper understanding of the transforming of functions and the solving of equations and inequalities.
https://sites.google.com/site/mathmindhabits/
