A worksheet on finding the domain and range of a function. The exercises include polynomial functions, rational functions and functions with square roots. Detailed solutions are included.

Master algebraic domain and range! A premium 9-page secondary maths resource featuring 18 domain problems, 9 advanced range tasks, and a complete 7-page step-by-step answer key.

Challenge your upper secondary and senior maths students with this rigorous Finding Domain and Range Worksheet: Rational & Radical Functions with Key. This 9-page packet focuses entirely on the algebraic analysis of function inputs and outputs. It provides the exact level of practice needed for A-Level, IB Mathematics, and Higher Tier GCSE students.

What’s Included:
• Page 1 (Domain): 18 algebraic problems focusing on zero denominators and negative square roots.
• Page 2 (Range): 9 complex problems requiring algebraic manipulation and boundary analysis.
• Pages 3–9 (Answer Key): 7 pages of complete, step-by-step worked solutions showing every line of working out.

Key Skills Practiced:
• Finding domain exclusions for cubic and quadratic denominators (e.g., x^3 - 8 = 0).
• Solving radical domain inequalities (e.g., x^2 - 5x >= 0).
• Determining range restrictions by isolating independent variables to find inverse limits.
• Finding quadratic range boundaries using turning points / vertex form.
• Expressing final answers clearly using correct set and interval notation.

Perfect For:
• Year 11 Higher GCSE, AS-Level, A-Level, and IB Math classes.
• Independent classroom learning logs or comprehensive homework packs.
• Rigorous exam preparation, revision sheets, and calculus readiness checks.