IGCSE Practice

IGCSE Functions and Graphs — Graphs of functions Practice Extended

7 Cambridge IGCSE 0580 questions on graphs of functions at the Extended tier — each with its full mark scheme. For the Core tier on the same skill, click here.

How to approach graphs of functions — open the study guide

Functions and graphs on IGCSE 0580

Function notation f(x), composite gf(x), inverse f⁻¹(x). Sketch linear, quadratic, cubic, reciprocal, exponential, and trig graphs.

Practice exercises

Exercise 1 — Cambridge IGCSE 0580 Specimen 2025 Paper 21 Q26

Cambridge past paper 11 marks Paper 21 Specimen 2025
IGCSE 0580 Specimen 2025 Paper 21 Question 26 — Graphs of functions (Extended, 11 marks)
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Mark scheme for IGCSE 0580 Specimen 2025 Paper 21 Q26

Exercise 2 — Cambridge IGCSE 0580 Nov 2025 Paper 22 Q20

Cambridge past paper 11 marks Paper 22 Nov 2025
IGCSE 0580 Nov 2025 Paper 22 Question 20 — Graphs of functions (Extended, 11 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Nov 2025 Paper 22 Q20

Exercise 3 — Cambridge IGCSE 0580 Specimen 2025 Paper 21 Q18

Cambridge past paper 9 marks Paper 21 Specimen 2025
IGCSE 0580 Specimen 2025 Paper 21 Question 18 — Graphs of functions (Extended, 9 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Specimen 2025 Paper 21 Q18

Exercise 4 — Cambridge IGCSE 0580 Jun 2025 Paper 21 Q14

Cambridge past paper 8 marks Paper 21 Jun 2025
IGCSE 0580 Jun 2025 Paper 21 Question 14 — Graphs of functions (Extended, 8 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Jun 2025 Paper 21 Q14

Exercise 5 — Cambridge IGCSE 0580 Jun 2025 Paper 23 Q22

Cambridge past paper 8 marks Paper 23 Jun 2025
IGCSE 0580 Jun 2025 Paper 23 Question 22 — Graphs of functions (Extended, 8 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Jun 2025 Paper 23 Q22

Exercise 6 — Cambridge IGCSE 0580 Nov 2025 Paper 43 Q19

Cambridge past paper 8 marks Paper 43 Nov 2025
IGCSE 0580 Nov 2025 Paper 43 Question 19 — Graphs of functions (Extended, 8 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Nov 2025 Paper 43 Q19

Exercise 7 — Cambridge IGCSE 0580 Jun 2025 Paper 42 Q19

Cambridge past paper 6 marks Paper 42 Jun 2025
IGCSE 0580 Jun 2025 Paper 42 Question 19 — Graphs of functions (Extended, 6 marks)
Show mark scheme
Mark scheme for IGCSE 0580 Jun 2025 Paper 42 Q19

Other Functions and Graphs subtopics