Functions & Relations Worksheet with Graphs

Master relations and functions with this comprehensive math worksheet featuring ordered pairs, algebraic equations, vertical line test graphs, and power curves.

This ready-to-use worksheet is designed for Algebra, IGCSE, and IB Mathematics classrooms to help students deeply understand the concepts of relations, functions, domain, and range.

Key Topics Covered:
• Identifying functions from sets of ordered pairs with full reasoning
• Using algebraic methods to solve for y and determine functionality (linear, quadratic, circle relations)
• Applying the Vertical Line Test (VLT) to cubic, parabolic, linear, and circular graphs
• Comparative analysis of even and odd power relations (y = x⁴ vs. x = y⁴, and y = x⁵ vs. x = y⁵)
• Function transformations, radical representation, and principal root analysis

What’s Included:
• 2-page clean and printable student worksheet
• Complete step-by-step teacher answer key and explanations
• High-resolution graphs with labeled coordinate axes

Ideal for in-class practice, homework assignments, test revision, or substitute teacher plans.