Notes Over 8.1Graphing Exponential Functions

xy 2 .1 Graph the function.

x y

2 4/11

012

2/1124

Notes Over 8.1Graphing Exponential Functions

xy 4 .2 Graph the function.

x y

2 16/11

012

4/114

16

Notes Over 8.1Graphing Exponential Functions

xy 23 .3 Graph the function.

x y

2 4/31

012

2/33612

Notes Over 8.1Graphing Exponential Functions

xy 24 .4 Graph the function.

x y

3 2/12101

1248

Notes Over 8.1Graphing a General Exponential Functions

423 .5 xyGraph the function. State the domain and range.

#3 from 23 Recall xy Move curve 4 units to the left.

Domain: All real numbers

Range: 0y

Notes Over 8.1Graphing a General Exponential Functions

125 .6 xyGraph the function. State the domain and range.

25Graph xy Move curve 1 units to the right.

Domain: All real numbers

Range: 0y

Notes Over 8.1Graphing a General Exponential Functions

43 .7 2 xyGraph the function. State the domain and range.

3Graph xy Move curve 2 units to the right

Domain: All real numbers

Range: 4y

and 4 units up

Notes Over 8.1Graphing a General Exponential Functions

34 .8 2 xyGraph the function. State the domain and range.

4Graph xy Move curve 2 units to the left

Domain: All real numbers

Range: 3y

and 3 units down.

Notes Over 8.1Modeling Exponential Growth

Exponential Growth

trCy 1 C is initial amountr is the growth rate t is the time period

Compound Interestnt

n

rPA

1

P is initial amountr is the growth rate t is the time period

n is the number of times per year

Notes Over 8.1Modeling Exponential Growth

tn

n

rPA

1

9. A customer purchases a television set for $800 using a credit card. The interest is charged on any unpaid balance at a rate of 18% per year compounded monthly. If the customer makes no payment for one year, how much is owed at the end of the year?

800

The customer would owe $956.49.

12015.1800A

18.1

49.95612

12

Notes Over 8.1Modeling Exponential Growth

tray 1

10. A house was purchased for $90,000 in 1995. If the value of the home increases by 5% per year, what is it worth in the year 2020?

000,90

The house would be worth $304,740.

2505.1000,90y05. 25

740,304y 386.3000,90y

Notes Over 8.1