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In: Advanced Math

Let X = {1, 2, 3, 4}, Y = {a, b, c}. (1) Give an example...

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

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