(1) If t+ 1

G(T)=(T+ 1- 1) squared+1=T squared+1.

(2) if t

g(T)= 1

(3) If T> 1

G(T)=(T- 1) squared+1.

Therefore, g (t) = the square of t+1t.

= 1 0 & lt； = T & lt= 1

=(T- 1)square+ 1t & gt； 1