## Sunday, 21 April 2013

### 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.

## Tuesday, 2 April 2013

### MATHEMATICS LESSON 3rd April 2013 1st Period Scribery

MATHEMATICS LESSON

3rd April 2013

1st Period Scribery

Scriber: Harindrar

Special thanks to: Iffah

y = a^x

A > 0

A not equal to 1

Asymptote: x-axis

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

_______________________________________________________

What does a logarithm represent? Ans: Power/index

Y = logax

A > 0

A not equal to 1

Asymptote: y-axis

Bigger the base(a) the closer the graph is to the x-axis

Image: http://www.sosmath.com/algebra/logs/log4/log42/gl02.gif

_______________________________________________________

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

Line through the middle is the line of symmetry.

Inverse relationship between log and exponential.

_______________________________________________________

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 -

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

_______________________________________________________

**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

_______________________________________________________

**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.

_______________________________________________________

**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 -

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