warmup alg 2 9 february 2012
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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. - PowerPoint PPT PresentationTRANSCRIPT
Warmup Alg 29 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
Hurricanes
HurricanesDamage
caused by
hurricane
Andrew,
2002
CommonalitiesWhat do Hurricanes, Tornados, Earthquakes
and MONEY all have in common?
They grow EXPONENTIALLY.
Money? Does money grow like this?
The graph of the equation:
nt
nrPA
1
Let’s start easier thoughxby )( “b” can be any number
If “b” is bigger than 1 then it is GROWTH (y gets bigger)
Graph: domain and range
Graphing: domain and range
f(x) = 2x
What is the domain?x is all real numbersWhat is the range?y > 0What is the asymptote?y = 0
Graphing: domain and range
f(x) = 2x-2
What is the domain?x is all real numbersWhat is the range?y > 0What is the asymptote?y = 0
Graphing: domain and range
f(x) = 2x-2 + 3
What is the domain?x is all real numbersWhat is the range?y > 3What is the asymptote?y = 3
Graphing: domain and range
f(x) = 2x+3 - 4
What is the domain?x is all real numbersWhat is the range?y > -4 What is the asymptote?y = -4
Graphing: domain and range
kbaxf hx )(What does the “h” do to the graph?
What does the “k” do to the graph?
Money Money Moneynt
nrPA
1
A: amount of the investmentP: principalr: annual interest raten: number of times interest is compounded per
yeart: time in years
Money Money MoneyCalculate the growth of investments.
Find the amount, A, of a $200 investment after 10 years at 5% interest compounded annually.
A(10) = 200 1 + ( )0.051
(1∙10)
$325.78
A(t) = P 1 + ( )rn nt
Money Money MoneyCalculate the growth of investments.
Find the amount, A, of a $500 investment after 8 years at 8% interest compounded quarterly.
A(8) = 500 1 + ( )0.084
(4∙8)
$942.27
A(t) = P 1 + ( )rn nt
Money Money MoneyCalculate the growth of investments.
Find the amount, P, if you have $3622.32 investment after 25 years at 8% interest compounded quarterly.
3622.32 = P 1 + ( )0.084
(4∙25)
500.00 P
A(t) = P 1 + ( )rn nt
Assignment
Chapter 7.1: 19 – 23, 37-38