How to Find the Range from Domain | Functions

Struggling to find the range of a function when given a specific domain? In this video, we break down step-by-step how to find the range for linear, rational, and quadratic functions without falling for common exam traps. Many students make the mistake of simply plugging in boundary values into inequalities. Here, we look at graphical behavior, turning points, and negative gradients to make sure you write the correct range every single time! Perfect for CAIE O Level Mathematics (4024), IGCSE Maths (0580), Additional Mathematics (4037 / 0606), and AS Level Maths (9709). 📌 What You Will Learn: • How domain restriction impacts the range of a function • Finding range for positive vs. negative gradient linear functions • Finding range for reciprocal/rational functions like f(x) = 1/x • Why turning points matter when finding the range of quadratic functions ⏱️ Timestamps: 00:00 - Linear Functions (Unrestricted vs Restricted Domain) 01:23 - Negative Gradients & Bounded Domains 03:22 - Rational Functions: Range of f(x) = 1/x for x is greater than and equal to 1 04:52 - Quadratic Functions: Finding Range from Turning Points 05:40 - Range of Quadratics: x is greater than 5 vs x is less than 5 (Avoid This Trap!) 08:20 - Summary & Key Takeaways for Exams 🔔 Subscribe to Concepts and Solutions by Sabih Siddiqui for clear, step-by-step Math tutorials! 👍 If this video helped you, hit the like button and share it with your classmates! #OLevelMath #IGCSEMaths #Functions #AddMaths #ALevelMaths #Mathematics #ConceptsAndSolutions