2007 SAJC Prelim Paper 1 questions

2007 SAJC Prelim Paper 1 questions - SAINT ANDREW'S JUNIOR...

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SAINT ANDREW’S JUNIOR COLLEGE PRELIMINARY EXAMINATION MATHEMATICS Higher 2 9740/01 Paper 1 Thursday 30 August 2007 3 hours Additional materials : Answer paper List of Formulae(MF15) Cover Sheet READ THESE INSTRUCTIONS FIRST Write your name, civics group and index number on all the work you hand in. Write in dark blue or black pen on both sides of the paper. You may use a soft pencil for any diagrams or graphs. Answer all the questions. Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place in the case of angles in degrees, unless a different level of accuracy is specified in the question. You are expected to use a graphic calculator. Unsupported answers from a graphic calculator are allowed unless a question specifically state otherwise. Where unsupported answers from a graphic calculator are not allowed in a question, you are required to present the mathematic steps using mathematical notations and not calculator commands. You are reminded of the need for clear presentation in your answers. The number of marks is given in brackets [ ] at the end of each question or part question. At the end of the examination, fasten all your work securely together. This document consists of 6 printed pages including this page. [Turn over
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[Turn over 2 1 Sketch, on a single diagram, the graphs of 29 yx  and   4 | | 2 , showing clearly the point(s) of intersection by giving the x- coordinates in exact values. Solve the inequality 4 | | 2 x x . [3] 2 The functions f, and g are defined by 2 f : 2 , x x x x a  g: ln(3 ), 3 x x x x (i) Find the largest value of a given that the inverse f –1 exists, and define f –1 . [3] (ii) Show that gf exists.
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This note was uploaded on 08/29/2009 for the course MA 9740 taught by Professor Moe during the Summer '07 term at Singapore Management.

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2007 SAJC Prelim Paper 1 questions - SAINT ANDREW'S JUNIOR...

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