Ch 6

Question 1

B is greater than 1:

Answer 1

Exponential growth

Question 2

B is less than 1:

Answer 2

Exponential decay

Question 3

Asymptote:

Answer 3

The graph approaches a number but will never reach it

Question 4

Exponential growth:

Answer 4

Y= a(1+r)^t

Question 5

Exponential decay:

Answer 5

Y=a(1-r)^t

Question 6

Y= a(1-/+ r) t
T:
A:
R:
Y:

Answer 6

Time
Initial amount
Rate
Final amount

Question 7

Compound interest:
Formula:
Initial amount=
Time =
Rate=
Number of times compounded

Answer 7

Y= p(1+ r/n)^nt
Initial amount=p
Time= t
Rate=r
N= number of times compounded

Question 8

Compounded:
- conpounded a______= _ time a year
Compounded se_______= _ times a year
- compounded q______= ___ times a year
- compounded mo_____= ___ times a year

Answer 8

Annually: 1
Semianually: 2
Quarterly: 4
Monthly: 12

Question 9

Inverse of functions:
1. Y—> __
2. Make x or y f^____

Answer 9

X
F^1(x)

Question 10

Exponential inverse:

Answer 10

A^b=c

Question 11

Logarithm inverse:

Answer 11

Log under a c = b

Question 12

Properties of logarithms:
1. Log under a (uv)=
2. Log under a (u/v) =
3. Log under a (u^n) =

Answer 12

1. Log under a u + log under a v
2. Log under a u - log under a v
3. N log under a u

Question 13

Graphing logarithms:
Domain:
Range:

Answer 13

Domain: X</> opposite sign of number inside parenthesis or 0 if nothing inside parenthesis
Range: all real numbers

Question 14

No base in logarithms=

Answer 14

Exponent of 10

Question 15

Condensing logarithms:
Adding log:
Subtracting log:

Answer 15

Log a (yz)
Log a (x/y)

Question 16

No base in log. =

Answer 16

10 base

Question 17

Condensing addition logarithms =

Answer 17

Log a (yz)
Multiplication answer

Question 18

Condensed subtracting log =

Answer 18

Log a (x/y)
Division

Question 19

When condensing remember to move number in front of log to be the ______ of the base

Answer 19

Exponent

Question 20

Change of base:

Answer 20

Log a b = logb / loga

Question 21

Exponential graph:
Domain:
Range:

Answer 21

All real numbers
Y</> 0

Question 22

No compounded annually or anything in problem (no n) :

Answer 22

A(1-r)^t

Question 23

Annual percentage yield formula:

Answer 23

Apy= (1+r/n)^n
Subtract by 1 and multiply by 100 to get percentage answer

Question 24

Continuously compounding:

Answer 24

Y= Pe^rt
E= 2.718

Question 25

Second ln =

Answer 25

E on calc.

Question 26

Graphing logarithms: Domain: Range:

Answer 26

Domain: x>(number that is inside parenthesis but opposite sign) Range: all real numbers

Question 27

Evaluating logs:

Answer 27

Change in base

Question 28

Graphing Exponentials:

Answer 28

Domain: all real numbers Range: y> number Asymptote:horizontal line <-----> Y= Range and aymptote will have same number ASYMPTOTE WILL BE K y= ab^x-h + K

Question 29

Graphing logarithms: Domain Range Asymptote

Answer 29

Domain: x> number in parenthesis (opposite sign) Range: all real numbers Asymptote: x= domain number VERTICAL LINE