H2 Maths Functions and Graphs | Free Notes
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H2 Maths notes on functions and graphs: key formulas, worked examples, and exam techniques for sketching, transformations, and inequalities.
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- Quick functions-and-graphs map
- 1.1 | Functions
- 1.2 | Graphs and Transformations
- 1.3 | Equations and Inequalities
Q: What does H2 Maths Notes (JC 1-2): 1) Functions and Graphs cover?
A: Detailed guide to MOE Topic 1 -- functions, transformations, equations, and inequalities -- with worked examples and calculator workflows.
Before you begin\ Make sure your Additional Maths foundations are fresh (logarithms, surds, quadratic inequalities). Keep the graphing calculator (GC) in Exam Mode while you revise so keystrokes become automatic.
Quick functions-and-graphs map
| If you have... | Walk away with this | First action |
| 1 second | Functions define inputs; graphs show behaviour. | State domain and key features. |
| 10 seconds | Most marks come from restrictions, transformations, and intervals. | Track what changes and what stays fixed. |
| 100 seconds | A complete solution combines algebra, sketch, and GC evidence where allowed. | Write the method before the final answer. |
Concrete example: Before finding an inverse for a quadratic, restrict its domain so it is one-to-one. Without that restriction, the inverse is not a function.
For the full topic map, paper weightings, and official PDF link, see our H2 Maths Syllabus 2026-27 overview.
Status: SEAB's current H2 Mathematics (9758) syllabus PDF is labelled for 2026. Topic 1 coverage is within Section A Pure Mathematics, which is assessed in Paper 1 (100 marks) and Paper 2 Section A (40 marks).
1.1 | Functions
Core ideas
- A function maps each input in its domain to exactly one output in its range.
