chapter 3

Question 1

cords of reflecting over x

Answer 1

(x, -y)

Question 2

cords of reflecting over y

Answer 2

(-x,y)

Question 3

finding log domain

Answer 3

(x+THIS NUMBER0 to inf

Question 4

finding exponential range

Answer 4

+ THIS NUMBER to ing

Question 5

linear or exponent more accurate

Answer 5

linear harder to grow at large numbers

Question 6

repeated multipicaiton on y values

Answer 6

exponential

Question 7

finding elimination

Answer 7

figure out how much decreases by

Question 8

finding asymptote of exp

Answer 8

only k value

Question 9

finding values gien graph

Answer 9

think of points on parent graph then check adjustments

Question 10

writing equation of exponent

Answer 10

use asymptote then input x and y to where x=0 to eliminate b

Question 11

lne=1

Answer 11

e^1=e

Question 12

how log can have negative output

Answer 12

b is whole x is fraction

Question 13

lilypad population doubles each week equation

Answer 13

P=22×2t

Question 14

log func where c<b<a

Answer 14

b>0 c fraction a whole

Question 15

parent ln func

Answer 15

y=lnx

Question 16

-log

Answer 16

reflect over x

Question 17

log-x

Answer 17

reflect over y

Question 18

write equaion of log

Answer 18

find shift, do opposite direction, find base

Question 19

va in log shows

Answer 19

left vs right shift frm center

Question 20

how to see if passes thru point

Answer 20

just check

Question 21

finding inverse

Answer 21

switch x and y

Question 22

population doubling every 12 days

Answer 22

p(2)^t/12

Question 23

y=ab^x

Answer 23

a is inital b is growth or decay rate

Question 24

exponential growth vs decay b value

Answer 24

decay fraction is b

Question 25

exponent parent function

Answer 25

y=b^x

Question 26

ab^(cx+d)+e

Answer 26

a vertical stretch shrink e up or down, affects range and ha d left or right c horizontal stretch shrink

Question 27

ha vs va

Answer 27

ha only in exp, va only in logg

Question 28

parent function includes

Answer 28

b value of given

Question 29

asymptote exp

Answer 29

x value of range

Question 30

compound interest formula

Answer 30

p(t)=pi(1+r/n)^nt

Question 31

p(t)=pi(1+r/n)^nt variables

Answer 31

pi initial amount r interest rate as decimal n number of times compounded/year t number of years

Question 32

continous exponential growth

Answer 32

y=aie^kt

Question 33

y=aie^kt use ln to solve for

Answer 33

k or t

Question 34

four equations memorized

Answer 34

y=aie^kt y=a(1/2)^t/x p(t)=pi(1+r/n)^nt p(t)=pie^rt

Question 35

log when x is fraction

Answer 35

solv for denom then make negative

Question 36

log when ba nd x are fractions

Answer 36

normal rules act when numerator is 1

Question 37

log when 1/perfect square

Answer 37

root^-2

Question 38

1/x

Answer 38

x^-1

Question 39

solving log

Answer 39

make into exponent equation, make exponets have same bases so you can set the exponents equal to each other

Question 40

vertical

Answer 40

outside a

Question 41

x^ab=

Answer 41

x^ax^b

Question 42

finding exponent equations given two data points

Answer 42

solve for one variable set equal to each other

Question 43

on exponents only

Answer 43

ha

Question 44

base value>

Answer 44

1 growth

Question 45

parent function exponent always gows thru

Answer 45

(0,1)

Question 46

k in exp is

Answer 46

ha

Question 47

number of unknowns

Answer 47

number of points/equations needed

Question 48

can seperate

Answer 48

z^a+b

Question 49

anchor point always

Answer 49

up one from ha unless stretch

Question 50

find ha as shift

Answer 50

shift from anchor to h then solve for a

Question 51

frist point down/up from ha is

Answer 51

anchor and if not one away there is shift

Question 52

write out all exponenet

Answer 52

factors to combine and get new numbers

Question 53

shifts and stretches

Answer 53

can go back and forth

Question 54

another equation

Answer 54

pi(1+/-r)^t

Question 55

log(x-h)+k passes thru

Answer 55

(h+1,k)

Question 56

finding vertical asymptote

Answer 56

just check

Question 57

rate per day

Answer 57

make sure change hours to days