IP EMaths Notes (Upper Sec, Year 3-4): 08) Functions and Transformations

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08 Nov 2025, 00:00 Z

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Marcus Pang·Managing Director (Maths)

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Q: What does IP EMaths Notes (Upper Sec, Year 3-4): 08) Functions and Transformations cover?
A: Interpret function notation, compose mappings, and relate algebraic changes to graph translations or stretches.

Function language appears in calculator prompts, inverse-relationship questions, and graph sketching. Track how algebraic edits move or stretch the curve.

Keep the full topic roadmap handy via our IP Maths tuition hub so you can jump into related drills, quizzes, or diagnostics as you move through these notes.

These notes align with SEAB GCE O-Level Mathematics (4048) content used in IP programmes (exams from 2026).

Status: SEAB O-Level Mathematics 4048 syllabus (exams from 2026) checked 2025-11-30 - scope unchanged; remains the reference for these notes.

Key ideas

• $f(x)$ gives the output when input $x$ is substituted.
• Composite functions: $(f \circ g)(x) = f(g(x))$