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Warmup Alg 2 9 February 2012

Warmup Alg 2 9 February 2012. Agenda. Don't forget about resources on mrwaddell.net Sec 7.1: Exponentials that grow Graph exponential equations Find domain and range. Section 7.1: Intro to Exponentials. Earthquakes. Earthquakes. Tornados. Tornados. Greensburg, KA 5 May 2007.

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Warmup Alg 2 9 February 2012

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  1. WarmupAlg 29February 2012

  2. Agenda • Don't forget about resources on mrwaddell.net • Sec 7.1: Exponentials that grow • Graph exponential equations • Find domain and range

  3. Section 7.1: Intro to Exponentials

  4. Earthquakes

  5. Earthquakes

  6. Tornados

  7. Tornados Greensburg, KA 5 May 2007

  8. Hurricanes

  9. Hurricanes Damage caused by hurricane Andrew, 2002

  10. Commonalities • What do Hurricanes, Tornados, Earthquakes and MONEY all have in common? • They grow EXPONENTIALLY.

  11. Money? Does money grow like this? The graph of the equation:

  12. Let’s start easier though “b” can be any number If “b” is bigger than 1 then it is GROWTH (y gets bigger)

  13. Graph: domain and range

  14. Graphing: domain and range What is the domain? x is all real numbers What is the range? y > 0 What is the asymptote? f(x) = 2x y = 0

  15. Graphing: domain and range What is the domain? x is all real numbers What is the range? y > 0 What is the asymptote? f(x) = 2x-2 y = 0

  16. Graphing: domain and range What is the domain? x is all real numbers What is the range? y > 3 What is the asymptote? f(x) = 2x-2 + 3 y = 3

  17. Graphing: domain and range What is the domain? x is all real numbers What is the range? y > -4 What is the asymptote? f(x) = 2x+3 - 4 y = -4

  18. Graphing: domain and range What does the “h” do to the graph? What does the “k” do to the graph?

  19. Money MoneyMoney A: amount of the investment P: principal r: annual interest rate n: number of times interest is compounded per year t: time in years

  20. ( ) nt A(t) = P 1 + ( ) 0.05 r (1∙10) A(10) = 200 1 + 1 n Money MoneyMoney Calculate the growth of investments. Find the amount, A, of a $200 investment after 10 years at 5% interest compounded annually.  $325.78

  21. ( ) nt A(t) = P 1 + ( ) 0.08 r (4∙8) A(8) = 500 1 + 4 n Money MoneyMoney Calculate the growth of investments. Find the amount, A, of a $500 investment after 8 years at 8% interest compounded quarterly.  $942.27

  22. ( ) nt A(t) = P 1 + ( ) 0.08 r (4∙25) 3622.32 = P 1 + 4 n Money MoneyMoney Calculate the growth of investments. Find the amount, P, if you have $3622.32 investment after 25 years at 8% interest compounded quarterly. 500.00  P

  23. Assignment • Chapter 7.1: 19– 23, 37-38

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