Determine which of the following functions are one-to-one. OA. f: R² → R² defined by f(x, y) = (x + y, x−y). B. f: R → R defined by f(x) = x². c. f: R² R2 defined by f(x, y)= (x +y, 2x + 2y). OD. f: R → R defined by f(x) = ³ - E. f: R → R defined by f(x) = ³.

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A: Use Hessian matrix

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A: The answer provided below has been developed in a clear step by step manner.

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A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

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A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…