Question: Question 21 (6 marks) Suppose that f is differentiable function and f'(x) 2x - 1 for all x E R. If f(0) = 1,

Question 21 (6 marks) Suppose that f is differentiable function and f'(x)

Question 21 (6 marks) Suppose that f is differentiable function and f'(x) 2x - 1 for all x E R. If f(0) = 1, show that for all x < 0, we have (Hint: Apply the MVT.) f(x) < 2x2-x+1.

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