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. ________________________________________