Exponential Functions (How to Graph) скачать в хорошем качестве

Exponential Functions (How to Graph)

Learn how to graph exponential functions like a pro with this comprehensive math tutorial! We'll cover everything from understanding exponential growth and decay to identifying horizontal asymptotes. Discover how to create a table of values to plot your points accurately and see how quickly these functions can grow. This video dives into: Basic Exponential Graphs: Explore the fundamental shape of y = a * b^x and how the base (b) determines growth or decay. Horizontal Asymptotes: Understand what an asymptote is and how to find it for your exponential functions. Graphing Techniques: Follow along with step-by-step instructions on making a table of values and plotting points for functions like y = 2 * 3^x. Graph Transformations: Learn how to shift exponential graphs horizontally and vertically, transforming y = 2 * 3^x into y = 2 * 3^(x - 2) + 1. See how these shifts impact the asymptote and every point on the graph. Domain and Range: Master how to determine the domain (all possible x-values) and range (all possible y-values) for exponential functions. Whether you're studying for a test or just want to brush up on your algebra skills, this video will make graphing exponential functions clear and easy. Hit subscribe for more math tutorials! Timestamps: 00:00 What is the Form of an Exponential Function 0:29 Example 1 Graphing y = 2(3)^x 0:39 How to Tell if the Function is Exponential Growth or Decay 1:10 What is the Horizontal Asymptote 2:18 What is the Equation of the Horizontal Asymptote 2:25 Graph y = 2(3)^(x-2) + 1 Discussing the Translation of the Graph 3:33 What is the Domain and Range of the Exponential Graph 4:24 Example 2 Exponential Decay y = 2(1/2)^(x+3) - 2 5:05 Shifting the Origin (Starting Point) 5:24 Make a Table Using the Parent Function 6:50 Discussing Domain & Range 7:05 Discussing How to Reflect the Graph Over the X-axis Related Videos: Graphing Exponential Functions with Natural Base e (y=e^x)    • Graphing Exponential Functions with Base e   How to Graph Logs    • Logarithms (Logs) How to Graph   Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below) http://www.mariosmathtutoring.com/fre... ➡️JOIN the channel as a CHANNEL MEMBER at the "ADDITIONAL VIDEOS" level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, and PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos)    / @mariosmathtutoring