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Unformatted text preview: 22 Exponential Functions
Graph: Graph: 22 f(x) = 2x f(x) = 2x p. 1 Properties of the exponential functions:
• f(x) = bx and f(x) = bx, ∞ < x < ∞ • b is called the base
• can always make b > 1
x 1 = 2x e.g. f(x) = 2
• domain: (∞, ∞) range: (0, ∞)
• continuous
• f(x) = bx is an increasing function
• f(x) = bx is a decreasing function
• yintercept: y = 1
• no xintercepts; graph always above x axis
• xaxis is an asymptote:
• as x + ∞
for f(x) = bx
• as x  ∞
for f(x) = bx
• bx = by x = y (onetoone property) 22 p. 2 ...
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 Spring '11
 Staff
 Exponential Function, Exponential Functions

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