Can someone explain this step by step with solutions ?

1. Which of these binary relations on integers are reflexive, irreflexive, symmetric, antisymmetric, and transitive? List all properties that apply. a) R(z, y) iff y = z + 1 b) R(x, y) iff z divides y evenly c) R(z, y) if y = 2dz for some nonnegative integer d d) R(a, y) if x and y are both divisible by 17 2. How many functions are there from {1,2, 3,4,5 to 1,2,3, 4,5 such that for all, f(x)? 3. Among the following functions, pick out all pairs (fi, fi) such that f, E O(f): a) f1(z) = c) fs(z) sin(z) d) f (z) = z log2 z