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Exponential Functions Section 4.1

Exponential Functions Section 4.1. JMerrill, 2005 Revised 2008. Definition of Exponential Functions. The exponential function f with a base b is defined by f(x) = b x where b is a positive constant other than 1 (b > 0, and b ? 1) and x is any real number. So, f(x) = 2 x , looks like: .

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Properties of Logarithms

Properties of Logarithms. 1. log a 1 = 0 since a 0 = 1. 2. log a a = 1 since a 1 = a. 3. log a a x = x and a log a x = x inverse property. 4. If log a x = log a y , then x = y . one-to-one property. Examples : Solve for x : log 6 6 = x.

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Precalculus Lesson 3.1

Precalculus Lesson 3.1. Check: NONE. Warm-up. Find the Domain and identify any asymptotes. Answers. Objective(3.1). Evaluate and graph exponential functions. Use the natural base e and compound interest formulas. The graph of f ( x ) = a x , a > 1.

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Exponential Functions

Exponential Functions. Lesson 2.4. Aeronautical Controls. Exponential Rate Offers servo travel that is not directly proportional to stick travel.

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Irrational number e - PowerPoint PPT Presentation

Exponential Functions Section 4.1

Properties of Logarithms

Precalculus Lesson 3.1

Exponential Functions