🎯 Welcome to Easy Maths with Faizan! 🎯
Hi Everyone!
I am Faizan, a professional instructor in Maths. I have a varied knowledge and experience in teaching maths at different levels.
Are you looking for clear, simple, and effective math lessons? You’re in the right place! Easy Maths with Faizan is dedicated to helping students understand complex mathematical concepts with ease.
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📘 9th Class Mathematics | Review Exercise | Graph of Functions | Easy Maths with Faizan | Quadratic & Cubic Functions | Break Even Point | Profit & Loss
Welcome to another detailed and step-by-step lecture on Easy Maths with Faizan, the channel dedicated to making 9th Class Mathematics simple, clear, and easy to understand. In this video, we will cover the complete solution of Question Number 4 to 7 from Review Exercise (Graphs of Functions) according to the New Syllabus 2025.
The topic of Graphs of Functions is one of the most important in Mathematics, as it not only helps you in exams but also builds your analytical and problem-solving skills for higher studies. By watching this lecture carefully, you will understand how to deal with Quadratic Functions, Cubic Functions, Supply and Demand Functions, and how to calculate the Break Even Point, Profit, and Loss using graphs.
🌟 Topics Covered in This Lecture
🔹 Question 4 (i): Plotting the Graph of y=x^2-3 from -5 to 5
Step-by-step calculation of values of y for each x
Drawing the graph of a Quadratic Function (parabola).
Understanding the vertex, axis of symmetry, and intercepts.
🔹 Question 4 (ii): Plot the graph of y = 15 - x^2 for x from -5 to 5
Another quadratic function.
How the parabola opens downward.
Maximum point, domain, and range explained.
🔹 Question 5: Plot the graph of y = (1/2)(x + 4)(x - 1)(x - 3) for x from -5 to 4
Introduction to cubic functions.
Finding roots of the function.
Explaining turning points and the shape of cubic graphs.
🔹 Question 6: Supply and Demand Functions
Supply function: Ps = Q^2 + 5
Demand function: Pd = Q^2 - 10Q
Graphs are sketched for Q from -20 to 20.
Real life application of supply and demand explained.
🔹 Question 7: Break Even Point, Profit and Loss
Cost function: C(x) = 60000 + 250x
Revenue function: R(x) = 1200x
Break even point where cost equals revenue.
Calculation of profit or loss when 100 LEDs are sold.
Break even point shown graphically.
Practical use of mathematics in business explained.
🌟 Why This Video is Important for 9th Class Students
This lecture is very important for all students of 9th Class Mathematics because it explains:
How to plot graphs of Quadratic and Cubic Functions.
How graphs are used in real life situations like Profit, Loss, and Break Even Point.
How to connect mathematics with Economics and Business through supply and demand curves.
Complete solutions of Review Exercise questions from the New Syllabus 2025.
By watching this video carefully, students will not only learn how to solve the exercise but will also build a strong foundation for higher mathematics.
Benefits of Watching
✅ Step by step solution of graph questions.
✅ Clear explanation of Quadratic and Cubic Functions.
✅ Understanding Supply and Demand Functions.
✅ Learning about Profit, Loss, and Break Even Point.
✅ Preparation for exams with confidence.
📢 Message for Students
At Easy Maths with Faizan, every lecture is designed to make Mathematics simple and easy. This lecture covers Graphs of Functions, Quadratic Functions, Cubic Functions, Supply and Demand, Break Even Point, Profit and Loss in detail. These concepts are not only important for exams but also for real life understanding of mathematics.
If you find this video helpful, make sure to Like, Share, and Subscribe to Easy Maths with Faizan. Also, Hit the Bell Icon to stay updated with all upcoming lectures of 9th Class Mathematics New Syllabus 2025.
✅ Easy Maths with Faizan – Making Mathematics Easy for Everyone!
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