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CAIE IGCSE Additional Math 1.1 function terminology

Use this function-terminology page to decide whether a relation is a function, classify mappings and explain when an inverse exists.

Syllabus
2028–2030
Course
Additional Mathematics 0606

Exam points

  • Explain why a relation is a function by checking each input has one output.
  • Classify graphs or mappings as one-one, many-one or self-inverse from evidence.
  • Justify when an inverse function exists using the one-one property of the graph.

1.1. Understand function terminology question 1

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Figure for Question 1.1. Understand function terminology question 1 — CAIE IGCSE Additional Math

The diagram shows the graph of f(x)=acos⁡bx+cf(x)=a\cos bx+c, for 0⩽x⩽8π30\leqslant x\leqslant\frac{8\pi}{3} radians.

Explain why f is a function.

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