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


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 -

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