Mathematics Term 2 Practice Paper Answers

AM and EM Assessment Book (GCE O format)

To assist students in their revision and preparation for GCE 'O' Level, the Mathematics Department has made arrangement with the bookshop to order the following 2 books for the students.

The information is as follows:

• Additional Mathematics by topic $7.00
• Mathematics by topic $5.50

Both will include solution booklet

Please make arrangement with your Math teacher on the procedures for purchases.

MATHEMATICS LESSON 3rd April 2013 1st Period Scribery

MATHEMATICS LESSON
3rd April 2013
1st Period Scribery
Scriber: Harindrar
Special thanks to: Iffah

Exponential:
Equation
y = a^x
Rules
A > 0
A not equal to 1
Asymptote: x-axis
Observations
Bigger the base(a) the closer the line is to the y-axis(Narrower/steeper)

Image: http://www.sosmath.com/algebra/logs/log4/log42/gl01.gif
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Logarithm:
What does a logarithm represent? Ans: Power/index
Equation
Y = logax
Rules
A > 0
A not equal to 1
Asymptote: y-axis
Observations
Bigger the base(a) the closer the graph is to the x-axis

Image: http://www.sosmath.com/algebra/logs/log4/log42/gl02.gif
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Exponential and Logarithmic relationship:

Image: http://www.regentsprep.org/Regents/math/algtrig/ATP8b/inversegraph.gif

Relationship(With reference to image)
Line through the middle is the line of symmetry.
Inverse relationship between log and exponential.
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Modulus:
Equation
Y = a | x |
Possibilities
-x , x < 0
X , x = 0 OR x > 0
Observations
(Linear)
V - Shaped graph.
Line of symmetry is y-axis
Image: http://limchiawei-tennshaun-yongzhen-haoyuan-modulusfunction.wiki.hci.edu.sg/file/view/f%28x%29%3Dabs%28x%29.png/231254306/800x442/f%28x%29%3Dabs%28x%29.png

(Quadratic)
Image: http://limchiawei-tennshaun-yongzhen-haoyuan-modulusfunction.wiki.hci.edu.sg/file/view/quad_graph1.png/238694051/800x567/quad_graph1.png


- Please post any additional notes in the comments section - THANK YOU -

Notes on asymptote.

Sorry for the late post