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Calculus, 2ADV C3 2006 HSC 5a A function f(z) is defined by f(z) - 2z (3 - x) i. Find the coordinates of the turning

Calculus, 2ADV C3 2006 HSC 5a A function f(z) is defined by f(z) - 2z (3 - x) i. Find the coordinates of the turning points of y = f () and determine their nature. (3 marks) ii. Find the coordinates of the point of inflexion. (1 mark) iii. Hence sketch the graph of y = f(x), showing the turning points, the point of inflexion and the points where the curve meets the x-axis. (3 marks) iv. What is the minimum value of f( ) for -1

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