In this Chapter, we begin to examine exponential functions, such as, f(x) = 2x. We begin by showing that, while these formulas are deceptively simple looking, they do not really tell us how to compute their values, as simpler algebraic functions do, such as g(x) = 2x3 - x + 5. As we said earlier, the only way to understand these functions, without Calculus, is by their algebraic properties We will, however, see that the graphing technique that we discovered earlier can be applied just as effectively to these functions as to the simpler functions with which we have worked to this point. We then move on to show how such functions naturally arise in various real-world settings. We will then discuss how to discover the exact form of the exponential model that best fits different situations.
Go to Powers and Exponential Functions
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