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Shmoop Study Guides
Shmoop Study Guides
(Sunnyvale - United States)

Shmoop wants to make you a better lover (of literature, history, poetry and writing). See many sides to the argument. Find your writing groove. Understand how lit and history are relevant today. We want to show your brain a good time.  Our mission: To make  ...

Reading This Could Help You Sleep: Caffeine in Your Body

"Reading This Could Help You Sleep: Caffeine in Your Body" is an introduction to exponential functions of the form ab^t at the Intermediate Algebra level, with emphasis on the meaning of these functions and their graphs. The concept of half-life is introduced. A conditional function (a piecewise-defined function) is used. "Get the Lead Out" extends the study of exponential functions and can be used to introduce the use of logarithms to "un-do" exponential expressions in solving equations. "So Much Coffee, So Little Time" can be used at the Intermediate Algebra level to help students see the value of "solving systems of linear equations". It shows connections between solving linear equations and exponential functions, and continues the study of exponential functions, this time of the form ab^t + c. End behavior of these functions with horizontal asymptotes is included.

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