Sketch root locus plots for the following open-loop transfer functions. You must explain how you got your sketches. Based on your plots in each case, state whether an increase in gain causes closed-loop instability, a decrease in gain causes closed-loop instability, the closed-loop system is stable for any positive gain value, and justify your reasoning.

(a) G(s) = (s+1)/(s(s-2))
(b) G(s) = (s-1)/((s+2)(s²+2s+5))
(c) G(s) = (s+0.5)/(s(s+1)(s-1))