Determine whether

g = {(1, c),(2, d),(3, a),(4, b)}

is a function from X = {1, 2, 3, 4} to Y = {a, b, c, d}. If it is a function,

(a) find its domain and range

(b) draw its arrow diagram

(c) determine if it is one-to-one, onto, or both. If it is both, give the description of the inverse function as a set of ordered pairs, draw its arrow diagram, and give the domain and range of the inverse function.