how to graph a recursive equation

Answer 1

This is a tricky question. If you have an equation that converges, you should be able to draw some sample data points and do a curve fit through the data points. Some recursive equations never converge, and so you could spend the rest of your working life trying to draw a recursive equation by hand or cause a computer to crash if you used a computer. Usually the computational solution to this is to limit the depth of the recursion, i.e., stop drawing the graph after the nth recursion. Unfortunately this can lead to misleading results.