1. For each of the following functions, state whether the function is injective, and whether the function is surjective. Give a short but persuasive explanation. 1.5 Injective, Surjective, and Bijective Functions 19 (a) A = the students in your class who have a Social Security number, B = the set of all nine-digit numbers, f : A - B, f(person) = that person's Social Security number (b) A = the letters a through z, B = the words in the English language, f : A - B, f(letter) = the first word in the Oxford English Dictionary that begins with that letter (c) A = the people who voted in the 2008 presidential election, B = the 2008 presidential candi- dates, f : A - B, f(person) = candidate for whom the person voted (d) A = the set of all married people, f : A - A, S(person) = the person's spouse (e) A = the set of all English words of five or fewer letters, B = (1, 2, 3, 4, 5), f : A - B, f(word) = the number of letters in the word (f) A = the people in your class, B = the set of letters a through z, f : A - B, f(person) = the first letter in the person's first name (g) A = the set of all people, B = the set of all males, f : A - B, f(a) = a's biological father