Extended Only 5–8% of exam · Paper 2, 4
IGCSE Maths: Functions
Master function notation, composite functions, and inverse functions for IGCSE Extended 0580.
Overview
Functions is an Extended-only topic that tests algebraic manipulation and logical thinking. Students must understand domain, range, composite functions, and inverses — skills that are essential preparation for A-Level Mathematics.
Extended Syllabus Topics
- Function notation f(x)
- Domain and range
- Composite functions f(g(x))
- Inverse functions f⁻¹(x)
- Piecewise functions
- Function graphs and transformations
Common Mistakes to Avoid
- Getting composite function order wrong (fg(x) ≠ gf(x))
- Errors when finding the inverse of complex functions
- Confusing f(2) with 2f(x)
- Not restricting domain for inverse functions
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- Exam Weight
- 5–8%
- Papers
- Paper 2, 4
- Difficulty
- High
- Syllabus
- Extended Only