# Introduction to exponential functions

Contents

Learn how to construct, analyze, graph, and interpret basic exponential functions of the form f(x)=a*r^x.

7 exercises available

Learn about exponential growth and decay, and specifically how it always grows (or diminishes) by equal factors.

Learn how an exponential function behaves as the value of its input increases to positive infinity or decreases to negative infinity. Learn how to graph basic exponential functions.

Learn how to analyze the formulas of basic exponential functions in order to find their common ratio, initial value, and other parameters.

Learn how to analyze the graphs, or tables of values, of basic exponential functions in order to find their common ratio, initial value, and other parameters.

Learn how to construct exponential functions to model real-world situations.

Learn how to construct exponential functions and then analyze them to model and solve real-world problems.

Learn how distinguish between linear and exponential growth, and learn the differences between the end behavior of polynomial and exponential functions.