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