Let N represent non negative Integers. Suppose f:N -> N has the rule f(n) = 4n + 1. Determine whether fis injective, surjective and/or bijective. O Injective but not Surjective O Surjective but not injective Bijective (both Injective and Surjective) O None of the above. Suppose f:Z -> Z has the rule f(x) = x. Determine whether fis injective, surjective and/or bijective. Injective but not Surjective O Surjective but not Injective Bijective (both Injective and Surjective) None of the above. Let Z. represent negative Integers and Z represent the set of all integers. Suppose f: Z -> Z has the rule f(x) = -x2-2. Determine whether fis injective, surjective and/or bijective. Injective but not Surjective Surjective but not Injective O Bljective (both Injective and Surjective) O None of the above. Find the sum of the following infinite geometric series. 1+*+*++... O2 O 3 O 1 O 1/2 O 3/2