Let x = {1, 2, 3, 4, 5} and Y = {a, b, c, d, e}, and define h: x -> Y as follows:
h(1) = b, h(2) = a, h(3) = b, h(4) = b, h(5) = d
Let A = {1, 2}, C = {a, b}, and D = {c}. Then
(1) h(A) = C
(2) h^(-1)(C) =
(3) h^(-1)(D) != ()
(4) h(x) = Y
Let X = {1, 2, 3, 4, 5} and Y = {a, b, c, d, e}, and define h: X -> Y as follows:
h1 = b, h2 = a, h3 = b, h4 = b, h5 = d
Let A = {1, 2}, C = {a, b}, and D = {c}. Then
(1) h(A) = C [Select] [Select] False
(2) h^(-1)(C) = True
(3) h^(-1)(D) 0 [Select]
(4) h(X) = Y [Select]