2. Notes Over 5.1 Graphing Exponential Functions Graph both functions on the same graph. xy xy A larger base makes it increase faster.

3. Graphing Exponential Functions Graph both functions on the same graph. xy xy A larger base makes it decrease faster.

4. Notes Over 5.1 Graphing Exponential Functions 3. Compare the graphs both functions in Example 1 and 2. Reflects over the y-axis Domain: Range: y-int: Inc/Dec: asymp: Contin:

5. Notes Over 5.1 Transformations of Exponential Functions Graph the transformation of the function. Move curve 2 units to the right Domain: All real numbers Range: and 4 units up Asymptote:

6. Transformations of Exponential Functions Use the graph of f to describe the transformation that yields the graph of g. move curve 4 units to the left and 3 units down Reflect over x-axis,

7. Notes Over 5.1 Evaluating the Natural Exponential Function Use a calculator to evaluate each expression.

8. Notes Over 5.1 Graphing Natural Exponential Functions Graph both functions on the same graph. xy xy The first is increasing while the second is decreasing.

9. Modeling Exponential Growth Compound Interest P is initial amount r is the growth rate t is the time period n is the number of times per year Continuous Compounding P is initial amount r is the growth rate t is the time period

10. Notes Over 5.1 Modeling Exponential Growth 9. A customer purchases a television set for $800 using a credit card. The interest is charged on any unpaid balance at a rate of 18% per year compounded monthly. If the customer makes no payment for one year, how much is owed at the end of the year? The customer would owe $956.49. compounded monthly $800 18% one year

11. Notes Over 5.1 Modeling Exponential Growth 10. 15 monkeys were released into a reserve. If they increase at a rate of 20% compounded continuously, how many monkeys will be in the reserve in 5 years, 10 years, and 15 years? compounded continuously 15 20% 5 years

12. Notes Over 5.1