Chapter 3, Exploration 18

Explore the dynamics of the system $$x_{n+1} = f_a(x) = ax_n(1-x_n)$$. The dropdown menu lets you select different values for $$a$$. Use the slider along the horizontal axis to change the initial condition. Determine the values of $$a$$ for which the fixed point at $$x = 0$$ is attracting, repelling, or neither.