# 9-2-2 - 2-2 Exponential Functions Graph Graph 2-2 f(x = 2x...

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Unformatted text preview: 2-2 Exponential Functions Graph: Graph: 2-2 f(x) = 2x f(x) = 2-x p. 1 Properties of the exponential functions: • f(x) = bx and f(x) = b-x, -∞ < x < ∞ • b is called the base • can always make b > 1 x 1 = 2-x e.g. f(x) = 2 • domain: (-∞, ∞) range: (0, ∞) • continuous • f(x) = bx is an increasing function • f(x) = b-x is a decreasing function • y-intercept: y = 1 • no x-intercepts; graph always above x axis • x-axis is an asymptote: • as x + ∞ for f(x) = b-x • as x - ∞ for f(x) = bx • bx = by x = y (one-to-one property) 2-2 p. 2 ...
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9-2-2 - 2-2 Exponential Functions Graph Graph 2-2 f(x = 2x...

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