Introduction
Welcome to the world of exponential functions! In this webquest, you will dive into the fascinating realm of exponential growth and decay. Get ready to unlock the secrets behind these powerful mathematical functions and explore their key features.
Task
Your task is to investigate exponential functions and their applications in real-life scenarios. Along the way, you will learn about the basic properties of exponential functions, connect them to geometric sequences, evaluate them using function notation, identify their terms, constants, and coefficients, and recognize exponential functions from various representations.
Before we get started, I have a simple question for you--- Would you rather....
Process
1. Start by watching a video that introduces the concept of exponential functions. This will provide you with a solid foundation to build upon. Complete the guided notes as you watch this video.
2. Learn how to evaluate exponential functions using function notation. Practice substituting values into the function and calculating the corresponding outputs.
3. Analyze the key characteristics of exponential functions in standard form. Examine their graphs, equations, tables, and verbal descriptions to identify their domain, range, whether they are increasing (growth) or decreasing (decay), rate of change, intervals of positive/negative values, and end behavior.
Let's take a look at how we actually see exponential functions in everyday life. While we may not all be raising money for a swim club like in this video, we are all looking for a rich uncle! 😂😂
Make sure you know what the graphs of exponential functions look like
..... and using tables
Now you're ready to show what you've learned!
Evaluation
At the end of this webquest, you will have the opportunity to demonstrate your understanding of exponential functions and their key characteristics through a series of quizzes and problem-solving tasks. This will allow you to showcase your newfound knowledge and reflect on your learning.
Conclusion
Remember, this webquest is designed to be interactive and engaging. Feel free to collaborate with your peers, ask questions, and explore additional resources beyond what is provided. Enjoy the adventure of discovering the power of exponential functions!