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H2 Math Summary Notes
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Pure Mathematics
Unit 1 Inequalities1 Question -
Unit 2 Graphing Techniques7 Questions
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Unit 3 Transformation of Graphs2 Questions
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Unit 4 Functions6 Questions
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Unit 5 APGP & Recurrence Relations6 Questions
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Unit 6 Sigma Notation6 Questions
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Unit 7 Techniques of Differentiation2 Questions
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Unit 8 Applications of Differentiation9 Questions
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Unit 9 Maclaurin Series2 Questions
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Unit 10 Techniques of Integration6 Questions
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Unit 11 Applications of Integration4 Questions
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Unit 12 Differential Equations2 Questions
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Unit 13 Vectors11 Questions
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Unit 14 Complex Numbers6 Questions
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StatisticsUnit 15 Permutation and Combinations7 Questions
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Unit 16 Probability5 Questions
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Unit 17 Discrete Random Variable4 Questions
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Unit 18 Binomial Distribution5 Questions
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Unit 19 Normal Distribution7 Questions
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Unit 20 Sampling and Estimation8 Questions
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Unit 21 Hypothesis Testing6 Questions
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Unit 22 Correlation and Linear Regression5 Questions
Lesson 4,
Question 6
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Worked Example 4
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It is given that \(\text{f}\left( x \right)=\left\{ \begin{matrix}4-2x\text{ for }0<x\le 2, \\-{{(x-4)}^{2}}+4\text{ for }2<x\le 4, \\\end{matrix} \right.\)
and \(\text{f}\left( x \right)=\text{f}\left( x +4 \right)\) for all real values of \(x\).
(i)
Evaluate \(\text{f}\left( 17 \right)+\text{f}\left( -8 \right)\).
(ii)
Sketch the graph of \(y=\text{f}\left( x \right)\) for \(-10\le x\le 7\).
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