Question: Consider the function f : R R2 defined by (a) Prove that f is injective. You may assume that the function g : R

Consider the function f : R R2 defined by (a) Prove that f is injective. You may assume that the function g : R + R defined by = is injective, but you should state clearly where you use this fact. [Hint: For (a, b), (c, d) e IR2, when is it true that (a, b) = (c, (b) Is f surjective? Explain your reasoning.

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