Notes Over 8.2Recognizing Exponential Growth and Decay

tray 1Exponential Growth Model

r1 1

tray 1 r1 1Exponential Decay Model

0

Notes Over 8.2Recognizing Exponential Growth and Decay

xxf 43 .1

State whether the function represents exponential growth or exponential decay.

4 1exponential growth

xxf 75.02 .2 75.0 1exponential decay

x

xf

3

14 .3

3

11

exponential decay

xxf 43

Notes Over 8.2Recognizing Exponential Growth and Decay

x

xf

5

64 .4

State whether the function represents exponential growth or exponential decay.

5

61

exponential growth

x

xf

4

13 .5

4 1

exponential growth

x

xf

5

27

Notes Over 8.2Recognizing Exponential Growth and Decay

State whether the function represents exponential growth or exponential decay.

x

xf

2

57 .6

5

21

exponential decay

Notes Over 8.2Graphing Exponential Functions

x

y

4

12 .7

Graph the function.

x y

0 21 2/1

Notes Over 8.2Graphing Exponential Functions

x

y

2

13 .8

Graph the function.

x y

0 31 2/3

Notes Over 8.2Graphing Exponential Functions

x

y

4

34 .9

Graph the function.

x y

0 41 3

Notes Over 8.2Graphing Exponential Functions

x

y

3

25 .10

Graph the function.

x y

0 51 3/10

Notes Over 8.2Graphing a General Exponential Functions

3

2

12 .11

x

y

Graph the function. State the domain and range.

2

12Graph

x

y

Move curve 3 units to the left.

Domain: All real numbers

Range: 0y

Notes Over 8.2Graphing a General Exponential Functions

4

3

23 .12

x

y

Graph the function. State the domain and range.

3

23Graph

x

y

Move curve 4 units to the right.

Domain: All real numbers

Range: 0y

Notes Over 8.2Graphing a General Exponential Functions

24

1 .13

x

y

Graph the function. State the domain and range.

4

1Graph

x

y

Move curve up 2 units.

Domain: All real numbers

Range: 2y

Notes Over 8.2Graphing a General Exponential Functions

32

14 .14

4

x

y

Graph the function. State the domain and range.

2

14Graph

x

y

Move curve 4 units to the left

Domain: All real numbers

Range: 3y

and down 3 units.

Notes Over 8.2