A worksheet on determining whether a function is even, odd or neither given its equation or graph. Detailed solutions are included.
Master even, odd, and neither functions! A premium 8-page secondary maths resource containing 22 algebraic equations, 10 graphical problems, and full step-by-step solutions.
Give your secondary maths, A-Level, or Higher Tier GCSE students a thorough, dual-approach mastery of function parity with this Even and Odd Functions Worksheet: Equations and Graphs Practice with Key. This resource perfectly bridges the gap between analytical algebra and visual graph analysis, ensuring students understand the concept of symmetry from every angle.
What’s Included:
• Page 1: Algebraic Analysis: 22 diverse functions (including polynomial, rational, absolute value, and radical functions) where students must algebraically substitute -x into the function to test for parity.
• Pages 2–3: Graphical Analysis: 10 clean Cartesian coordinate graphs where students identify symmetry about the y-axis (even) or origin (odd).
• Pages 4–8: Complete Step-by-Step Answer Key: Full algebraic proofs showing the exact substitution work and clear visual labels for every single graph.
How It Works:
- Analytic Proofs: Students evaluate f(-x) to determine if it simplifies back to the original function (Even), changes all signs to its opposite (Odd), or neither.
- Visual Symmetry: Students inspect graph quadrants to check for reflectional symmetry across the y-axis or rotational symmetry about the origin.
Perfect For:
• GCSE Higher Tier, AS-Level, and A-Level Maths classes
• Independent classwork, homework assignments, or consolidation tasks
• Quick cover plans, revision sheets, or assessment preparation
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A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.
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Functions Worksheet Bundle | Domain, Range, Graphs, Even & Odd | Algebra 2
A collection of three worksheets on the following topics: * Identifying Graphs of Functions: identifying whether a given graph represents a function * Domain and Range of a Function: finding the domain and range of a function ( polynomial functions, rational functions and functions with square roots) * Even and Odd Functions Bundle: determining whether a function is even, odd or neither given its equation or graph. Detailed solutions are included. Master identifying functions, finding domain and range, and determining even and odd functions with this comprehensive math worksheet bundle! Complete with step-by-step solutions, this print-and-go resource is perfect for GCSE Higher, A-Level, and Core Maths students. Help your classes build conceptual mastery with both algebraic and graphical practice. ________________________________________ Are your students struggling to identify functions, calculate domain and range, or classify even and odd functions? This Functions Worksheet Bundle is the ultimate print-and-go solution to help your A-Level, Higher GCSE, or Key Stage 4/5 students build lasting algebraic and graphical confidence. This comprehensive math resource features clear layout graphics and step-by-step, fully worked solution sheets that take the guesswork out of grading, marking, or student self-checking! **What’s Included in This Bundle?** • **Identifying Graphs of Functions:** Coordinate plane graph practice utilizing the vertical line test to distinguish functions from non-functions. • **Domain and Range of a Function:** Extensive practice finding the domain of linear, quadratic, rational, and square root functions analytically. Includes finding the range of rational functions using algebraic manipulation. • **Even and Odd Functions:** Dual-focused practice where students determine if a function is even, odd, or neither using both algebraic proof calculations and graphical symmetry rules. • **Complete Step-by-Step Solutions:** Every single problem comes with a fully worked-out answer key, making this resource perfect for independent student work, homework assignments, or emergency cover lessons! **Why Teachers Love This Resource:** • No Prep Required: Simply download, print, and hand out to your classes immediately. • Scaffolded Learning: Exercises naturally progress from simple conceptual identification to multi-step rational and radical equations. • Versatile Classroom Use: Ideal for homework, classwork, revision booklets, retrieval practice, or end-of-topic assessments. • Clear, Clean Formatting: Designed with high-contrast, uncluttered visual layouts accessible to all learners. **Target Levels:** • Key Stage 4 (KS4) / GCSE Math: Excellent for Higher Tier students mastering function notation and graphs. • Key Stage 5 (KS5) / A-Level Mathematics: Perfect for the core pure mathematics modules covering coordinate geometry and algebraic functions.
£3.35
Bundle
Functions (Harder) Bundle
A collection of 8 worksheets on functions. The following topics are included: * Identifying Graphs of Functions * Identifying Functions, Domain and Range-Set of Ordered Pairs * Evaluating Functions * Even and Odd Functions * Equality of Functions * Composition of Functions * Injective Functions * Inverse Functions (harder) Solutions are provided.
£7.95
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