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MAT 150 Algebra Class #16

MAT 150 Algebra Class #16. Topics: Graphing and Apply Exponential Functions Transforming Exponential Functions. Review. Properties of Exponents on pages 309-312. Exponential Functions. Identifying Exponential Functions. Graphing Exponential Functions. 1. Graph for .

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MAT 150 Algebra Class #16

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  1. MAT 150 AlgebraClass #16 Topics: Graphing and Apply Exponential Functions Transforming Exponential Functions

  2. Review • Properties of Exponents on pages 309-312.

  3. Exponential Functions

  4. Identifying Exponential Functions

  5. Graphing Exponential Functions 1. Graph for . • Create a table of values for the given domain. • Plot the points on a graph. • Draw the function connecting the points. • Label the x-intercept, y-intercept, and horizontal asymptote. State the domain and range. 2. What is the value of b? _____ Did this cause a growth or decay? _________

  6. Transformations of Graphs Explain how the graph of each of the following functions compares with the graph of using the graphing calculator with and . • and • and • and

  7. The Number This number occurs in biology and finance. dollars, where S of an investment of P dollars for t years at interest rate r, compounded continuously.

  8. Sales Decay It pays to advertise, and it is frequently true that weekly sales will drop rapidly for many products after an advertising campaign ends. Suppose that the decay in the sales of a product is given by dollars, where x is the number of weeks after the end of a sales campaign. • What is the level of sales when the advertising campaign ends? • What is the level of sales 1 week after the end of the campaign? • Using the graph, estimate the week in which sales equal $500. • According to the graph/model, will sales ever fall to zero?

  9. Assignment Pg. 321-323 #1-3 #7 #13-18 #23-25 #29,33,40

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