Educação Superior::Ciências Exatas e da Terra::MatemáticaThis Demonstration allows you to explore the effect of iterating a selection of polynomial and rational functions, showing three types of fixed points, f(x)=x: 1. attracting:|f'(xa)|<1. Iterations of nearby values converge to attracting fixed points. 2. repelling:|f'(xr)|>1. Iterations of nearby values are repelled. 3. indifferent:|f'(xi)|=1. The iteration behavior is difficult to predict