1. a. For the function F(x) = ax, what is the type of the fixed point at 0? (This type will depend upon a.)
b. At which a-values does this family of functions undergo a bifurcation?
2. Determine the values of k for which the fixed points in the unit interval for the logistic family kx(1 - x) with k > 0 are attracting, repelling, or neutral.