Mathematics HSC Examinations by Topic

(i) Show that f ’(x) > 0 for all x in the domain of f(x). (ii) Sketch the graph of y = f(x), showing all asymptotes. 2 2 Solution. 12 1 Which expression is a correct factorisation of x3 – 27? (A) (x – 3) (x2 – 3x + 9) (B) (x – 3) (x2 – 6x + 9) (C) (x – 3) (x2 + 3x + … ................
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