Module 3 - Topic 2 - Exponential and Logarithmic Functions
"In Exponential and Logarithmic Functions, students build of their knowledge of exponential functions to analyze, graph, and transform exponential functions and their inverses, logarithmic functions."
"Students then integrate their knowledge of exponential functions and inverses to define a new function: the logarithm. They connect the exponential form and logarithmic form of an equation and convert between the two forms. Students then explore the key characteristics of logarithmic functions and differentiate the common logarithm from the natural logarithm."
"Finally, students expand on their knowledge of function transformations to transform exponential and logarithmic functions. They make generalizations about the effect of a transformation on an inverse function."
"In his 1798 book An Essay on the Principle of Population, Robert Malthus warned that food supply increases linearly while populations increase exponentially, leading to inevitable famine. Fortunately he was not correct; globally speaking, human population growth is very close to linear." - Carnegie Textbook