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Flashcards in Chapter Seven Test Deck (21):
1

Exponential growth/ decay equations

Y=ab^(x-h) +k

2

Difference in B's for exponential growth/decay

Growth b>1
Decay 0

3

Two points always use for exponential growth or decay

(0,1)
(1,b)

4

How to graph Y=ab^(x-h) +k

Put in (0,1) and (1,b)
Then multiply by a
Then translate h and k

5

Compound interest

A=P(1+r/n)^nt
P-initial
R-interest as decimal
N-# compounded per year
T-number of years

6

Depreciation

Y=a(1-r/n)^nt
A-initial
R-interest decimal
N- times reduced per year
T-years

7

Graph natural base (e)

Same as exponential and decay just b is e^

8

CONTINUEOUSLY compounded interest

A=Pe^rt
P-initial
E-eulers number
R-rate of interest decimal
T-years

9

Exponential form vs log form

Base^ex=#
Log>base #=ex

10

Rewrite log equations
10^2=100

Log base 10=2

11

What does evaluate logs mean

To what power gives you

12

Log function

Y=log base (x-h) +k

13

Parent log function

Y=log base x
So base^y=x

14

How to graph log function

0,1,-1 for y
Graphs go up and away from y
Or down and away from y

15

Multiplying logs

Log base (m•n)
Add
Log base m + log base n

16

Quotient of power logs

Log base (m/n)
Subtract
Log base m- log base n

17

Log power of power

Log base m^n
Distribute
N log base m

18

Expand order

Quotient
Product
Power

19

Condense order

Power
Product
Quotient

20

Exponential function

Y=ab^x

21

Power function

Y=ax^b