Función Racional: Dominio, Asíntotas, Extremos y Representación Gráfica

🚨 EXCLUSIVE PREVIEW: RATIONAL FUNCTION FROM THE 2024 UNED MATH II EXAM 🚨 In this video, we solve exercise 3 from the 2024 UNED Mathematics II exam step by step, focusing on the study of a rational function. 📘✏️ The exam structure has changed compared to previous years, and since 2024, the format has been much closer to the EBAU/Selectividad model. In this tutorial, I explain clearly and in detail how to approach this type of exercise, analyzing the domain, asymptotes and how the function approaches them, increasing and decreasing intervals, concavity and convexity, maxima, minima, inflection points, and the graphical representation of the rational function. ✅ Ideal for students of: UNED University Access for those over 25 and 45 High School University Entrance Exams (EBAU/PAU/Selectividad) Mathematics II Preparation for official exams 📌 In upcoming videos, I will upload: ✔️ Complete solutions to the 5 practice problems from the exam ✔️ Multiple-choice questions ✔️ Strategies for quickly solving rational functions ✔️ Step-by-step explanations to get a better grade 🧠 In this tutorial, you will learn: How to study a rational function How to find vertical and horizontal asymptotes How to graph a rational function Common techniques in UNED and EBAU exams Common mistakes to avoid 🔥 If you are preparing for Mathematics II for the UNED 2024 exam or want to reinforce your understanding of rational functions for the Selectividad exam, this video will be extremely helpful. 📚 RELATED CONTENT: UNED Mathematics II Exam 2024 Solved Rational Functions Step by Step Solved EBAU-Style Exercises UNED Mathematics Preparation University Entrance Exam Mathematics II This exercise is from the new UNED exam format, which, starting in 2024, has changed and is more similar to the EBAU (University Entrance Exam). In this case, it involves the complete analysis of a graph of a rational function, where we have calculated the following steps. 00:00 DOMAIN 02:27 INTERCEPTS 03:23 SYMMETRIES 04:53 Vertical, Horizontal, and Oblique Asymptotes 13:12 MONOTONICITY, INCREASING-DECREASING PERIODS 19:12 MAXIMA AND MINIMA 20:10 CONCAVITY-CONVEXITY, INFLECTION POINTS 26:00 GRAPHICAL REPRESENTATION of the FUNCTION 👍 If this video helps you: ✔️ Like it ✔️ Subscribe to the channel ✔️ Turn on notifications 🔔 ✔️ Share it with other students #UNED #MathematicsII #RationalFunctions #EBAU #UniversityEntranceExam #PAU #Mathematics #UNEDExam #Mathematics2024 #UniversityAccess #HighSchool #Functions #MathTutorial #SolvedExercises I hope this is helpful and that you enjoy it. If so, please comment and share it on your social networks. Thank you very much. IF YOU WANT TO DOWNLOAD A PDF WITH ALL THE STEPS TO GRAPH A FUNCTION, CLICK HERE: https://www.academiadiego.es/app/down... To see more COMPLETE STUDY VIDEOS EXPLAINED STEP BY STEP ON POLYNOMIAL AND RATIONAL FUNCTIONS from my channel, visit:    • REPRESENTACIÓN de FUNCIONES. Ejercicios RE...   If you found this video interesting, give it a LIKE, and if you don't want to miss any new videos from my channel... SUBSCRIBE: https://www.youtube.com/subscription_... Follow me on INSTAGRAM:   / academiadiegomurcia   Follow me on TWITCH:   / academia_diego   Follow me on TIKTOK:   / academiadiego   To see the CATALOG of all videos, visit... https://sites.google.com/view/academi... If MATH is your problem Academia DIEGO is your solution In this video, we perform a complete "function study" for the function f(x) = x³ /(x+1)², addressing its "domain," symmetries, and "intercepts." We calculate its "asymptotes" and analyze its monotonicity and relative extrema. Finally, we determine the "concavity of a function" and the "inflection points of a function" for its graphical representation. 📚