Скачать или смотреть Range of Rational Functions Without Common Roots | Linear & Quadratic Cases Explained

Confused about how to find the range of rational functions when there are no common roots in the numerator and denominator? This video simplifies the concept for both:

🔹 Linear over quadratic rational functions
🔹 Quadratic over quadratic rational functions

In this lesson, you'll learn:

How to handle rational functions without factor cancellation

Smart techniques to find the range analytically

Key steps using algebra and graph-based intuition

How to use sign charts and derivative tools (where needed)

Perfect for:
✅ Class 11 & 12 students (CBSE/ICSE)
✅ JEE, NEET, and other competitive exams
✅ College algebra learners

📌 Chapters:
00:00 - Intro to Rational Functions
01:15 - Linear over Quadratic Example
06:30 - Quadratic over Quadratic (No Common Root)
11:40 - Range Techniques Recap

📚 Related Topics: Domain and range, vertical asymptotes, critical points, rational inequalities.

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