Foundations of Exponential Functions

Do you want to understand the mathematics behind rapid growth and decay that impacts everything from finance to biology? This course will equip you with a solid understanding of exponential functions, enabling you to confidently analyze, interpret, and solve problems involving exponential growth and decay. What you'll learn: * Understand the core definition and characteristics of exponential functions. * Graph exponential functions and identify their domain, range, and asymptotes. * Apply exponential models to analyze real-world scenarios like population growth, radioactive decay, and compound interest. * Practice solving exponential equations and inequalities using various algebraic techniques. * Learn the significance of the natural base 'e' and its connection to continuous growth and decay. * Interpret growth and decay rates from exponential models in practical contexts. The course begins with foundational definitions and properties, progressively moving through graphing techniques, algebraic manipulation, and practical applications, concluding with a deep dive into the natural exponential function and its uses. This course is designed for absolute beginners with no prior knowledge of exponential functions, providing a clear and comprehensive introduction to the topic. No prior mathematical background beyond basic algebra is required. Start your journey to mastering exponential functions today and unlock a crucial mathematical skill.