If you’re looking for the 1st Year Math Exercise 2.1 Notes from the chapter Functions and Graphs according to the Punjab Board new syllabus 2025–26, you’re in the right place! This post provides complete and easy solutions for Exercise 2.1, explained step by step to help you understand each topic clearly. These notes also come with a video explanation, so you can learn visually and grasp the concept of functions more effectively.
1st Year Math Chapter 2 – Functions and Graphs | Exercise 2.1 Notes PDF (With Video Explanation)
Overview of 1st Year Math Chapter 2 – Functions and Graphs
Chapter 2, titled Functions and Graphs, is one of the most important topics in 1st Year Mathematics. It builds the foundation for understanding relations, functions, and their graphical behavior. In Exercise 2.1, you’ll mainly study functions, domain, and range, which are essential for solving higher-level mathematical problems in future exercises and classes. These notes are written in simple and easy language, perfect for Punjab Board students.
Topics Covered in Math 1st Year Exercise 2.1
In this exercise, you will learn about:
- Functions: Understanding what a function is and how it relates two sets.
- Domain: Finding all possible input values of a function.
- Range: Identifying the possible output values for given inputs.
- Examples and Graphs: Step-by-step solved examples showing how to find the domain and range of given functions.
All solutions are prepared carefully according to the Class 11 Math new book (2025–26 syllabus). The explanations are kept simple so that even difficult concepts can be understood easily.
Download 1st Year Math Exercise 2.1 Notes PDF
You can download the complete Exercise 2.1 Notes PDF from the link below. These notes include every question from the new book, solved in a neat and easy-to-follow way. We’ve also added a video explanation that explains each question clearly — perfect for students who prefer visual learning.
📘 [Download PDF]
🎥 [Watch Video Explanation]
Conclusion
At Last Hope Study, our goal is to provide students with accurate, easy, and exam-focused notes for every subject and chapter. Download your 1st Year Math Chapter 2 (Functions and Graphs) Exercise 2.1 Notes PDF today and strengthen your understanding of functions, domain, and range. Keep visiting Last Hope Study for more updated notes, past papers, and solved exercises according to the Punjab Board new syllabus 2025–26.
FAQs
Q1. How can I download 1st Year Math Exercise 2.1 Notes PDF?
You can download the notes directly from the link above. The PDF is free and available for all Punjab Board students.
Q2. What topics are included in Exercise 2.1?
Exercise 2.1 covers functions, domain, and range, along with solved examples and related graphs from the Functions and Graphs chapter.
Q3. Are these notes according to the new syllabus 2025–26?
Yes, these notes are completely prepared according to the Class 11 Math new book (Punjab Board 2025–26 syllabus).
All educational notes, solved exercises, and PDFs are available free of cost at Last Hope Study. Visit our website regularly to download more Class 9, 10, 1st Year, and 2nd Year notes according to the latest Punjab Board syllabus.
