¿Qué es una FUNCIÓN LINEAL? ▶ GRÁFICA, PENDIENTE e INTERCEPTO en 20 MINUTOS ⌚🚀

In this video, we'll understand what a linear function is, learn how to graph the function f(x) = x, and then, through examples, understand what the slope and y-intercept are. Finally, we'll see an application example. Creating these videos takes me quite a bit of time. If you'd like to help me continue creating content on YouTube, I invite you to support me on Patreon and access exclusive benefits:   / bluedot96   #functions #whatisafunction #graphoffunctions #differentialcalculus #linearfunction CHAPTERS: 00:00 Introduction 00:54 Graph of f(x) = x 02:34 Graph of f(x) = 2x 04:11 Comparing the graphs of f(x) = x, g(x) = 2x, and h(x) = 5x 05:14 Slope of a line 06:13 What is the SLOPE? 07:54 Graphical Interpretation of the SLOPE 10:53 Graph of f(x) = x + 2 12:34 Graph of f(x) = x - 1 14:21 What is the INTERCEPT? 15:05 Linear Function f(x) = mx + b 16:22 Application of a Linear Function: Will We Reach 100k Subscribers? 16:56 Function that Models Channel Growth 22:25 When Will We Reach 100,000 Subscribers? 22:44 Acknowledgments and Farewell Creating these videos takes me quite a bit of time. If you'd like to help me continue creating content on YouTube, I invite you to support me on Patreon and access exclusive benefits:   / bluedot96   Follow me on Twitter:   / bluedot96   Follow me on Facebook:   / bluedot1196   Follow me on Instagram:   / pauloch96   I recommend these videos: What is a derivative?:    • La DERIVADA lo cambio TODO 🚀| ¿QUÉ es la D...   What is an integral?:    • ¿Qué es la INTEGRAL? | SIGNIFICADO de la i...   What is a function?:    • Una función NO es UNA MÁQUINA | ¿QUÉ es UN...   FUNCTIONS FROM ZERO:    • ¿QUÉ es UNA FUNCIÓN?  ▶ PRODUCTO CARTESIAN...   LINEAR FUNCTION:    • ¿Qué es una FUNCIÓN LINEAL? ▶ GRÁFICA, PEN...   QUADRATIC FUNCTION:    • ¿QUÉ es UNA FUNCIÓN CUADRÁTICA? ▶ Como GRA...   FUNCTIONS OF TWO VARIABLES:    • ¿QUÉ es UNA FUNCIÓN DE DOS VARIABLES? 🚀| D...   THE INTEGRAL FROM ZERO:    • Este TEOREMA lo CAMBIO TODO 🚀| ¿QUÉ es LA ...   DIFFERENTIATION:    • Esta IDEA DE NEWTON FUNDO las BASES del CA...   DERIVATION RULES:    • El lado DESCONOCIDO de la DERIVADA 🧐| Las ...   WHAT IS CALCULATION?:    • ¿Por qué el CÁLCULO lo CAMBIO TODO?  🚀 🚀 |...   WHAT IS A LIMIT?:    • Una FANTÁSTICA INTRODUCCIÓN a los LÍMITES ...   THE LIMIT EXPLAINED IN DETAIL:    • ¿QUÉ es EL LÍMITE de UNA FUNCIÓN? ▶DECONST...   PROPERTIES OF THE LIMIT:    • ¿QUÉ HAY tras LAS FAMOSAS PROPIEDADES de l...   WHAT IS OPTIMIZATION?:    • ¿Por qué DEBES APRENDER OPTIMIZACIÓN de FU...   WHERE DO SIN, COS, AND TAN COME FROM?:    • ENTENDIENDO realmente QUÉ son SEN, COS y T...   UNDERSTANDING SEN, COS, AND TAN:    • ENTENDIENDO las FUNCIONES SEN, COS y TAN  ...   **************************************************************************************************** The animations in this video were created with Manim (Mathematical Animation), a Python library created by Grant Sanderson (3Blue1Brown). Personally, I find it a very useful tool for visually explaining many concepts. If you're interested, here's the link to the Manim library for Python: https://github.com/3b1b/manim Thanks for watching, and see you in the next video!