Determine the values of k for which the fixed points

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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.

Reference no: EM13895814

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