A function f : R ) R is said to be coercive, if 511.}12[1oof(x) = 00 and Illngof (3:) = 00. (a) Determine whether the following functions are coercive or not: (i) f (:3) = 632, (ii) f (3:) = 10 cos(:L') + 21,,(1 :13)? Provide justication. [2 marks] (b) Let f : R ) R be coercive, and g : R > R be bounded, in the sense that a g g (3:) g b, for every :3 E R, where oo