IP AMaths Notes (Upper Sec, Year 3-4): 11) Modulus Functions

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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 AMaths Notes (Upper Sec, Year 3-4): 11) Modulus Functions cover?
A: Piecewise rewriting, graph sketching, and inequality solving with modulus expressions for IP AMaths.

Modulus expressions measure distance from zero. Convert them into piecewise linear forms to analyse turning points and solve inequalities.

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.

Everything here stays within the SEAB GCE O-Level Additional Mathematics (4049) modulus function syllabus: rewriting $|f(x)|$ piecewise, sketching, and solving equalities/inequalities.

Status: SEAB O-Level Additional Mathematics 4049 syllabus (exams from 2025) checked 2025-11-30 - scope unchanged; remains the reference for this note.

Fundamental identities

$|x| = \begin{cases} x & x \geq 0 \ -x & x < 0 \end{cases}$

IP AMaths Notes (Upper Sec, Year 3-4): 11) Modulus Functions

Fundamental identities

Worked example 1 - Piecewise sketch

Worked example 2 - Modulus inequality

Worked example 3 - Solving a modulus equation

Practice Quiz

Try this

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