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Exponential Functions

Exponential Functions

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Exponential Functions

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  1. Exponential Functions Section 3.1

  2. Objectives • Evaluate an exponential function at a given point. • Determine the equation of an exponential function given a point or two points. • Graph an exponential function. • State the domain and range of an exponential function. • Determine the transformation of a transformed exponential function given an equation. • Solve a word problem involving an exponential function.

  3. Vocabulary • exponential function • base of an exponential function • natural exponential function

  4. Formula • basic exponential function where a > 0 and a≠ 1

  5. Find each of the following for the function f :

  6. Graph the function What it the domain of the function? What is the range of the function? What is(are) the x-intercepts? What is(are) the y-intercepts?

  7. Find the exponential function whose graph goes through the points (0, 5) and (3, 40).

  8. Suppose you go to a company that pays $0.04 for the first day, $0.08 for the second day, $0.16 for the third day, and so on.  If the daily wage keeps doubling, what will your income be on the 30th day?

  9. Finance Formula • discrete compound interest • continuous compound interest