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section22_material - MATH 110 BUSINESS CALCULUS CHAPTER 2...

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Unformatted text preview: MATH 110 BUSINESS CALCULUS CHAPTER 2 NONLINEAR MODELS Section 2.2 Exponential Functions and Models An exponential function of variable x is a function that can be written in the form f ( x) = A ⋅ b x where A and b constants ( A ≠ 0, b > 0) We call b the base of the exponential function. We may say that exponential functions have a constant percent rate of change (constant factor of change). For instance, an exponential function may double for each unit of increase in x (same as increases by 100%) We recognize an exponential growth and decay. f ( x) = A ⋅ b x If b > 1, exponential growth If 0<b<1, exponential decay • Review the Laws of Exponents before doing any exercises • For the applications of Exponential functions, please see “Simple and Compound interest” handout. ...
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