P = Z7 (read as Z mod 7 or the set of valid remainders when dividing by 7)

J = {a,e,i,o,u} Y ={dog,cat,cow,chicken,bear,squid,mouse,crab}

(a) Define a function, f , from P to Y that is neither injective nor surjective.

(b) Define a function, g, from P to Y that is both injective and surjective.

(c) Define a function, h, from J to J that is neither injective nor surjective.