C3 maths- Modulus

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  • Created on: 19-09-13 11:42
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OCR C3 Mathematics 1
The Modulus Function
Reflect any negative part of the graph when it is a modulus graph
Key Rules
|axb|= |a| x |b|
|a/b|= |a| / |b|
|x2|= |x|2= x2
Solving Equations
Type A modulus= constant
|x1|=4
X1=4 x1=4
X=5 x=3
Type B modulus= modulus
|x2|=|x4| (square both sides)
X24x+4=x28x+16 (move around to get x on one side numbers on other)
4x=12 (divide all by 4)
X=3
Type C modulus= function of x
|x1|=2x
Draw both graphs and see where the intercept...
If they intercept on the negative part of the modulus graph (the reflection) then it would be
(x1)=2x
x+1=2x
X=1/3
If they intercept on positive part of graph then solve normally,

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