Question: 1. (2 marks) On the same axes, sketch the graphs of y = (2x - 1| and y = x + 2, and hence or

1. (2 marks) On the same axes, sketch the graphs of y = (2x - 1| and y = x + 2, and hence or otherwise, solve |2x - 1| = x + 2. 2. (2 marks) Show that f : R - R, given by f(x) = 2x3 -3x2 -12x + 5, does not have an inverse. 3. (2 marks) Given the formula sinh(A + B) = sinh A cosh B + cosh A sinh B find a formula for sinh(2x) and differentiate to get a formula for cosh(2x) . Use your results to express sinh(3x) as a cubic polynomial in sinha . 4. (2 marks) For f(x) = |a2 - 4x + 3 r - 3 discuss the limiting behaviour of f(x) as x - 3 , as x - 3- and as x - 3. 5. (2 marks) Determine lim T-+00 (V4x2 + 7x -2 - (2x + 1))

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