Data from an experiment may result in a graph indicating exponential growth. This implies the formula of this growth is \(y = k{x^n}\), where \(k\) and \(n\) are constants. Using logarithms, we can ...

Graphs of exponential functions: examining the distinctive curve of exponential growth and decay Graphs of logarithmic functions: analysing how logarithmic functions represent the inverse of ...

Before reading this guide, you may find it helpful to read the guide on graphs from Module 7 (M7) and the guide on indices from Module 8 (M8). In Module 7 (M7) Graphs, you learned that simultaneous ...

Provide students with graphs of linear, quadratic, and exponential functions. Ask them to identify the type of function in each graph by utilizing their knowledge of slope, y-intercept, vertex, and ...

Then, display exponential function graphs, such as y = 2^x, y = 3^x or y = 4^x, and ask students to identify key features such as the initial value, the rate of change, or the asymptote. This way, ...

What are the underlying principles of how populations change over time? Two basic principles are involved, the idea of exponential growth and its ultimate control. The basics of population ecology ...