Please Read Notes and Credits. The equation y = Rx(1 – x) graphs as a parabola. The parameter R determines the height of the parabola. The part of the parabola where X is greater than zero and less than 1 is of interest. Click on the Green Flag, enter a value for R (R greater than zero and less than 4), and verify that f(x) does graph as a parabola with height equal to R.
********************************************************************* This project is the 1st project in the Attractors, Chaos, and Strange Attractors Studio. Visit the Studio at https://scratch.mit.edu/studios/247932/ ********************************************************************* The mathematical technique called 'iteration' is the mathematical heart of deterministic chaos theory, attractors, strange attractors, and fractal geometry. The differences between graphing f(x) and iterating f(x) need to be understood and appreciated if a deeper understanding of these topics is desired. There are an infinite number of values for x between zero and one and therefore an infinite number of points on the parabola. Another way to say is to state that f(x) is continuous between zero and one.
