For each of the following functions: i determine the equation(s) of the asymptotes ii find f'(x) and hence determine the position and nature of any turning points iii find the axis intercepts iv sketch the function, showing all information obtained in i, ii and ii. x2 - y = x2 – x – 6 x² +1 | x² – 5x + 4 x² – 6x + 5 d x² + 5x + 4 (x + 1)²

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