Identity
Essay by Rachel Lavina • January 17, 2017 • Essay • 7,987 Words (32 Pages) • 981 Views
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Year 1 Test November 2013
MATHEMATICS Name:__________________________
STANDARD LEVEL
PAPER 2
25 November 2013
Test on Binomial Theorem, General Functions, Quadratic Functions, GDC Problem on Sequence and Series
50 minutes
INSTRUCTIONS TO CANDIDATES
- Write your name in the slot above.
- Do not open this test paper until instructed to do so.
- You are permitted to access of calculators for this paper.
- Answer all questions in Section A the boxes provided.
- Unless otherwise stated in the question, answer all the question in Section B on the lined paper provided.
- Unless otherwise stated in the question, all numerical answers must be given exactly or correct to three significant figures.
Mark | Percentage | Grade |
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Answers written on this page |
Full marks are not necessarily awarded for a correct answer with no working. Answers must be supported by working and/or explanations. Where an answer is incorrect, some marks may be given for a correct method, provided this is shown by written working. You are therefore advised to show all working.[pic 3]
Answer all questions in the boxes provided. Working may be continued below the lines if necessary.
1. [Maximum mark: 7]
The functions f (x) and g (x) are defined by and [pic 4][pic 5]
(a) Find . [2 marks]
(b) Write down . [1 mark]
(c) Solve for possible value(s) of x for . [4 marks]
[pic 6][pic 7][pic 8]
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2. [Maximum mark: 7]
[pic 9]
Let .[pic 10]
(a) Convert into the form of [2 marks]
(b) Write down the coordinates of the vertex. [2 marks][pic 11][pic 12]
(c) Write down equation of the axis of symmetry. [1 mark]
Given that . [pic 13]
(d) Find the number of intersections for the graphs and . [2 marks][pic 14][pic 15]
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3. [Maximum mark: 6] [pic 16]
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