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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
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
If 0<b<1, exponential
decay • Review the Laws of Exponents before doing any
• For the applications of Exponential functions, please
see “Simple and Compound interest” handout. ...
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