Exponential and Logarithmic Inverses and Graphs

Prove and compare the growth behaviors of linear, polynomial, and exponential functions over equal intervals and for large values of x.

Analyze exponential and logarithmic functions as inverses and graph them with accurate asymptotes and key points.

Apply the laws of logarithms to expand, condense, and evaluate expressions, and solve exponential and logarithmic equations analytically and with technology.

Model dynamic physical phenomena using exponential functions and linearize exponential and power relationships using logarithmic transformations.