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8-2 Properties of Exponential Functions

8-2 Properties of Exponential Functions

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8-2 Properties of Exponential Functions

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  1. 8-2 Properties of Exponential Functions p. 431

  2. Do Now Does the function represent growth or decay? What is the percent of increase or decrease? GROWTH a = 5 b = 3/2 GREATHER THAN 1!

  3. Example 1Graph. Make a table of values for ANY exponential function!

  4. e • e is a real number constant that is useful for describing exponential growth or decay. CONTINUOUSLY COMPOUNDED INTEREST FORMULA: A = Pert Constant Time in years Annual interest rate Amount in the account Principal amount

  5. Example 2 Suppose you invest $1300 at an annual interest rate of 4.3% compounded continuously. Find the amount in the account after 3 years. A = ? P = 1300 r = .043 t = 3 A = (1300)e.043(3) A = Pert = $1479

  6. Example 3 Sodium-24 has a half-life of 15 hours. How much sodium-24 will you have after 60 hours if your original sample is 64mg? How many half-lives in a 60 hour period? Let y = the amount of sodium-24 Let x = the number of hours elapsed AWAYS ½!

  7. Homework • p. 426 #1-33 every other odd • p. 434 #1-25 every other odd