

A worksheet in which students are required to determine if a given graph represents a function or not.
This is a good introduction to the notion of functions.
There are 16 problems.
Detailed solutions are included.
This zero-prep worksheet gives your students excellent practice identifying math functions directly from coordinate graphs. It builds fluency, confidence, and straight-line coordinate geometry mastery in GCSE Mathematics and secondary school classrooms (pp. 1, 4).
What is Included
- Comprehensive Graph Practice: Sheets challenge students to analyze diverse graphs—including lines, curves, circles, and parabolas—to determine if they show a functional relation (pp. 1-3).
- Full Step-by-Step Answer Key: A complete solution guide that explains the exact reasons why each graph passes or fails, making it clear when an input maps to multiple outputs for quick marking (pp. 4-6).
- Clear Graphics: High-quality coordinate planes with crisp grid lines make the vertical line test super easy for students to complete (pp. 1-3).
Perfect For
- Independent classwork sheets
- Homework assignments
- Quick cover work or substitute teacher lesson plans
- Revision sessions and retrieval practice
- End of year exam preparation
Aligned Educational Standards
- Key Stage 3 & 4 Algebra: Understand the concept of a function; define and use functions using tabular, graphical, and algebraic representations.
- GCSE Mathematics (AQA, Edexcel, OCR, Eduqas): Interpret and use functional notation; understand inputs, outputs, and mapping within coordinate systems.
- International Curricula (IGCSE / IB MYP): Distinguish between relations and functions using mappings, ordered pairs, and graphs.
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