Warmup Alg 2 9 February 2012

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