Question: Let Y = {y} be a set with exactly one element, and let X be an arbitrary set. Show that there is a unique function

Let Y = {y} be a set with exactly one element, and let X be an arbitrary set. Show that there is a unique function f from X to Y . When is f injective? Surjective? A bijection? Describe all possible left inverses to f, and all possible right inverses.

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