# 4.1/4.2 Exponential Growth/Decay Flashcards

1
Q

b>0 is

A

growth factor

2
Q

b= (growth)

A

1+r

3
Q

r

A

growth/decay rate

4
Q

exponential growth: b

A

b>1

5
Q

passes through points

A

(0,1) and (1,b)

6
Q

a line that a graph approaches more and more closely but should not be crossing

A

asymptote

7
Q

domain and range

A

(-oo, oo) and

0,oo

8
Q

formula

A

y=ab^x-h +k

9
Q

k (shift)

A

vertical

10
Q

h (shift)

A

horizontal

11
Q

0<b></b>

A

decay factor

12
Q

b= (decay)

A

1-r ; decay rate

13
Q

how else can exp growth/decay be expressed

A

y=a(b)^x

14
Q

exp decay: b

A

0<b></b>

15
Q

A

A

yeild

16
Q

P

A

principal

17
Q

n

A

of times compounded

18
Q

r

A

annual rate

19
Q

t

A

time

20
Q

compound interest formula

A

A=P(1+r/n)^nt

21
Q

order of compound interest formula solving (showing work)

A
1. formula
2. substituted formula
22
Q

exponential growth model

A

y=a(1+r)^t ;

b>1

23
Q

exponential decay model

A

Y=a(1-r)^t ;

0<b></b>

24
Q

in a model, never do what

A

put a # in for t

25
Q

a>0 is

A

initial amount