Chapter Seven Test

Question 1

Exponential growth/ decay equations

Answer 1

Y=ab^(x-h) +k

Question 2

Difference in B’s for exponential growth/decay

Answer 2

Growth b>1

Decay 0<b></b>

Question 3

Two points always use for exponential growth or decay

Answer 3

(0,1)

1,b

Question 4

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

Answer 4

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

Question 5

Compound interest

Answer 5

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

Question 6

Depreciation

Answer 6

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

Question 7

Graph natural base (e)

Answer 7

Same as exponential and decay just b is e^

Question 8

CONTINUEOUSLY compounded interest

Answer 8

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

Question 9

Exponential form vs log form

Answer 9

Base^ex=#

Log>base #=ex

Question 10

Rewrite log equations

10^2=100

Answer 10

Log base 10=2

Question 11

What does evaluate logs mean

Answer 11

To what power gives you

Question 12

Log function

Answer 12

Y=log base (x-h) +k

Question 13

Parent log function

Answer 13

Y=log base x

So base^y=x

Question 14

How to graph log function

Answer 14

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

Question 15

Multiplying logs

Answer 15

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

Question 16

Quotient of power logs

Answer 16

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

Question 17

Log power of power

Answer 17

Log base m^n
Distribute
N log base m

Question 18

Expand order

Answer 18

Quotient
Product
Power

Question 19

Condense order

Answer 19

Power
Product
Quotient

Question 20

Exponential function

Answer 20

Y=ab^x

Question 21

Power function

Answer 21

Y=ax^b