Question: Exercise 4.4.7: a) Let f : R - R be a continuously differentiable function and k > 0 be a number such that f' (x)

Exercise 4.4.7: a) Let f : R - R be a continuously differentiable function and k > 0 be a number such that f' (x) > k for all x E R. Show f is one-to-one and onto, and has a continuously differentiable inverse f-1: R - R. b) Find an example f: R - R where f'(x) > 0 for all x, but f is not onto

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