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Exponential Functions.

DUY TAN UNIVERSITY. Teacher: Nguyen Thi Le Nhung. Exponential Functions. 1. Functions. 2. Composition of functions. DUY TAN UNIVERSITY. Section 1: Functions. 1. Exponential Functions.

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Exponential Functions.

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  1. DUY TAN UNIVERSITY Teacher: Nguyen Thi Le Nhung Exponential Functions. 1. Functions. 2. Composition of functions.

  2. DUY TAN UNIVERSITY Section 1: Functions. 1. Exponential Functions. If b is a positive number other than 1 (b > 0, ) , there is a unique function called the exponential funtcion with base b that is defined by for every real number x

  3. DUY TAN UNIVERSITY Section 1: Functions. Figure 1 Typical exponential graphs

  4. The domain of f is the set of all real numbers in b) Since is undefined . DUY TAN UNIVERSITY Section 1: Functions. Example 1:Give • Find the domain of function. • b) Compute . Solution • The function is defined when

  5. DUY TAN UNIVERSITY Section 1: Functions. Example 2. Suppose the total cost in dollars of manufacturing q units of a certain commodity is given by the function a) Compute the cost of manufacturing 10 units of the commodity. b) Compute the cost of manufacturing the 10th unit of the commodity. Solution a) Cost of 10 units = b) Cost of the 10th unit

  6. DUY TAN UNIVERSITY Section 1 : Functions. Example 3. Suppose that t hours past midnight, the temperature in Miami was a) What was the temperature at 2:00 P.M.? b) By how much did the temperature increase or decrease between 6:00 and 9:00P.M.?

  7. DUY TAN UNIVERSITY Section 1: Functions. Example 4. An efficiency study of the morning shift at a certain factory indicates that an average worker who arrives on the job at 8:00 A.M. will have assembled television sets x hours later. a) How many sets will such a worker have assembled by 10:00 A.M ? b) How many sets will such a worker assemble between 9:00 and 10:00 A.M.?

  8. DUY TAN UNIVERSITY Thank you for listening!

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