H2 Math Summary Notes

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Pure Mathematics
Unit 1 Inequalities
Basics of Test Point Method
Unit 2 Graphing Techniques
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Unit 3 Transformation of Graphs
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Unit 4 Functions
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How to Use GC to Plot an Inverse Graph
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Unit 5 APGP & Recurrence Relations
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Unit 6 Sigma Notation
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Unit 7 Techniques of Differentiation
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Unit 8 Applications of Differentiation
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Unit 9 Maclaurin Series
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Unit 10 Techniques of Integration
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Unit 11 Applications of Integration
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Unit 12 Differential Equations
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Unit 13 Vectors
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Unit 14 Complex Numbers
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Statistics
Unit 15 Permutation and Combinations
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Unit 16 Probability
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Unit 17 Discrete Random Variable
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Unit 18 Binomial Distribution
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Unit 19 Normal Distribution
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Unit 20 Sampling and Estimation
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Unit 21 Hypothesis Testing
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Unit 22 Correlation and Linear Regression
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Worked Example 3

H2 Math Summary Notes Unit 4 Functions Worked Example 3

Sketch the graph of [latex]\text{f}\left( x \right)=\left\{ \begin{matrix}-1 \\x \\1\text{ } \\\end{matrix}\right.\text{}\begin{matrix}\text{for} \\\text{for}\\\text{for}\\\end{matrix}\text{   }\begin{matrix}x<-1 \\ -1\le x\le 1 \\x>1  \\\end{matrix}[/latex] and state its range

Determine whether [latex]\text{f}[/latex] is a one-one function.

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