Exponential Functions

Exponential functions are widespread in natural and social sciences. They are used to model population growth, radioactive decay, or money accumulated at specific interest rates are just a few of their applications. This chapter will discuss the properties of exponents followed by the techniques for analyzing and sketching exponential functions. Exponential functions are substantially different from rational or polynomial functions, which will manifest in their short- and long-run behaviors. However, assessing their long-run behavior accomplished through taking limits will reflect on the earlier developed techniques. The essence of exponential functions which is their constant percentage rate will be explored in contexts of modeling. The underpinnings of the compound and continuous growth percent rates will conclude this chapter.