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In this comprehensive math tutorial, we dive into identifying linear, quadratic, and exponential equations from tables. Learn how to distinguish between these fundamental function types using the powerful "method of finite differences." We'll work through six detailed examples, breaking down each step to help you confidently determine the equation that best fits the data. Whether you're studying Algebra 1, Algebra 2, or college algebra, understanding how to analyze tables to find patterns is crucial. We'll cover: Linear Equations: Discover how a constant first difference reveals a linear relationship (y = mx + b). Quadratic Equations: See how a constant second difference points to a quadratic function (y = ax² + bx + c), and explore methods like intercept form and systems of equations to find the formula. Exponential Equations: Learn to spot when you're multiplying by a constant ratio, indicating an exponential function (y = a * b^x), and how to find the y-intercept. Practice along with us as we tackle various scenarios, ensuring you grasp the core concepts of finite differences and equation modeling. This video is perfect for students looking to strengthen their understanding of functions and their graphical representations. ➡️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