Exponential and Logarithmic functions

This module explores the unique properties of growth and decay, centering on the mathematical constant "e" and the inverse relationship between powers and logarithms. Students learn to graph exponential curves, manipulate logarithmic laws to solve complex equations, and understand how these functions reflect one another across the line y = x. These concepts are vital for modeling everything from compound interest to biological population growth where the rate of change depends on the current size of the quantity.