Objectives 1 Identify exponential functions from a table

Objectives 1. Identify exponential functions from a table. 2. Identify Direction, Initial value, Growth/Decay factor, and Growth/Decay rate of exponential functions from a table 3. Identify an exponential equation from context

Creating a table from an exponential function Growth or Decay? Growth Factor? 2 Initial Value? 3. 7 0 1 2 3 4 3. 7 7. 4 14. 8 29. 6 59. 2

Creating a table from an exponential function Your turn Growth or Decay? Growth Factor? 3 Initial Value? 4 0 1 2 3 4 4 12 36 108 324

Using a table to find an exponential function Growth or Decay? Factor? Initial Value? 0 1 2 3 4 81 27 9 3 1

Using a table to find an exponential function Your turn Growth or Decay? Factor? Initial Value? 1 2 3 4 5 13. 2 29. 04 63. 888 140. 555 309. 22

The data shows the population of large mouth bass in a pond. Find the exponential equation that models this situation. (Let 0 represent the year 1972) Growth or Decay? 1972 1973 1974 1975 1976 1977 1978 200 322 519 836 1346 2167 3490 Factor? Initial Value?

The data shows the population of large mouth bass in a pond. Find the exponential equation that models this situation. (Let 0 represent the year 1970) 1970 1971 1972 1973 1974 1975 1976 1977 1978 1971 what was the population? 200 322 519 836 1346 2167 3490 1970 what was the population?

You purchased your new Rolex watch for $1200. It is expected to gain value at a rate of 5% per year. What is the exponential equation that models this situation?

7 8 9 10 11 1688. 80 1772. 90 1861. 60 The watch will be worth more than $1800 after 9 years.

You purchased your car for $24000. It is expected to lose value at a rate of 8% per year. What is the exponential equation that models this situation?

4 5 6 7 8 17193 15818 14553 The car will be worth less than $15000 after 6 years.