2. [2+2pt] Stability of fixed points.

(a) For each of the three functions (solid lines) depicted below,

(i) Write down the approximate values of the fixed points (as estimated by eye).

(ii) State for each fixed point, whether it is stable, unstable or neither of the two.

(b) You are given the first ten iterates of two sequences, and yk, both of which converge to

zero: