Functions Worksheet Bundle: Domain, Range, One-to-One & Inverses

A collection of three worksheets on the following topics:

• Domain and Range of a Function:The exercises include polynomial functions, rational functions and functions with square roots.
• Injective Functions: The exercises require to decide whether a function is injective or not given its equation or its graph.
• Inverse Functions: The exercises require to decide whether a given function is invertible, find the inverse function and the domain of the inverse function.
  Detailed solutions are included.

Simplify your advanced functions unit with this comprehensive, no-prep 3-worksheet bundle! Perfect for KS5, A-Level Maths, and Further Maths lessons, this print-and-go pack covers domain and range, injective functions, and finding inverse functions with full worked solutions included.

Looking for a rigorous, ready-to-print resource to help your sixth form students truly master functions?
This complete 3-worksheet bundle takes students beyond basic equations to build deep conceptual fluency. From analyzing restricted domains to algebraically proving inverse relationships, this toolkit gives your A-Level Mathematics, Further Maths, or Advanced Extension Award classes the exact practice they need to tackle complex algebraic concepts with confidence.

What’s Included in This Bundle:
• Worksheet 1: Domain and Range – Features 18 rigorous problems covering linear, rational, radical, absolute value, and quadratic functions, alongside finding the range using interval notation.
• Worksheet 2: Injective (One-to-One) Functions – Teaches students how to formally prove if a function is injective algebraically and visually using graphs and the horizontal line test.
• Worksheet 3: Finding Inverse Functions – Guides students through verifying invertibility and finding inverses for advanced linear, quadratic, radical, rational, and piecewise functions.
• Full Worked Solutions – Step-by-step, fully written mathematical solutions for every single problem to make marking effortless or facilitate student self-assessment!

Perfect For:
• Year 12 and Year 13 A-Level Mathematics (Pure Maths modules)
• Further Maths & Advanced Extension Award (AEA) preparation
• Independent Practice, Homework Tasks, or Cover Work
• End-of-Unit Revision & Maths Intervention Groups

Curriculum Alignment:
Fully aligned with the UK National Curriculum for Advanced Level Mathematics and suitable for all major exam boards, including AQA, Edexcel, and OCR:
• Algebra and Functions: Understand and use the definition of a function, including domain, range, one-to-one (injective) functions, and the restriction of domain to create invertible functions.
• Inverse Functions: Find the inverse of a function, illustrate its graphical relationship to the original function, and understand the structural conditions for its existence.