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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