In: Advanced Math
Let X = {1, 2, 3, 4}, Y = {a, b, c}.
(1) Give an example for f : X → Y so that ∀y ∈ Y, ∃x ∈ X, f(x) = y. 1 2
(2) Give an example for f : X → Y so that ∃y ∈ Y, ∀x ∈ X, f(x) = y.
(3) Give an example for f : X → Y and g : Y → X so that f ◦ g = IY