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Unformatted text preview: 22 Exponential Functions
Function type
linear
quadratic
polynomial
exponential
Graph: Example
f(x) = 3x + 2
f(x) = 3x2 + 2x  3
f(x) = 2x4 + 3x2
f(x) = 2x
f(x) = 2.63x1
f(x) = 2x • 2 is the base of the exponential – “exponential base 2”
• the base can be any positive number
• common bases are 2 (for computer nerds), 10, and e
Exponential functions with base e
f(x) = ex
•
•
•
• e is a real number constant (like π) value = 2.7182818…
frequently seen as the base for exponential functions
called the natural base, because
it arises “naturally” in many mathematical contexts 22 p. 1 ...
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This note was uploaded on 12/11/2011 for the course MATH 1324 taught by Professor Staff during the Spring '11 term at Austin Community College.
 Spring '11
 Staff
 Exponential Function, Exponential Functions

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