chapter 4

Question 1

an exponential function

Answer 1

y=a (*) b ^x

Question 2

what is y in y=a(*)b^x

Answer 2

the output

Question 3

what is a in y=a(*)b^x

Answer 3

the initial value (y value)

Question 4

what is b in y=a(*)b^x

Answer 4

growth/ decay factor

Question 5

what is x in y=a(*)b^x

Answer 5

the # of cycles of growth/ decay

Question 6

what is the exponential growth

Answer 6

b>1

Question 7

what is the exponential decay

Answer 7

0<b></b>

Question 8

how do you graph an exponential function

Answer 8

use an input output table w/ domains as -2,-1,0,1,2

Question 9

does f(x)=1.5^x show growth or decay?

Answer 9

growth, 1.5>1

Question 10

what formula do you use if an amount is increasing or decreasing by a constant percentage?

Answer 10

I=p(1+r)^t

Question 11

what does I stand for in I=p(1+r)^t

Answer 11

y=a(*)b^x

Question 12

what does the p stand for in I=p(1+r)^t

Answer 12

the initial value

Question 13

what does r stand for in I=p(1+r)^t

Answer 13

rate of growth/ decay

Question 14

what does the t stand for in I=p(1+r)^t

Answer 14

of cycles of growth/ decay

Question 15

what is the growth factor

Answer 15

(b>1)

I+r(in decimal form)

Question 16

what is the decay factor

Answer 16

(0<b></b>

Question 17

define domain

Answer 17

x’s

Question 18

define range

Answer 18

y’s

Question 19

find the domain and range for and the inverse
X: 0-1-2-4-8
Y: 2-4-5-6-7

Answer 19

Domain: 0 x 8
range: 3

Question 20

how do you write the inverse of a function f(x)=2x

Answer 20

f^-1(x)=1/2x

Question 21

what is an exponential equation

Answer 21

b*=a

Question 22

what is a logarithmic equation

Answer 22

log b ^a=x

Question 23

how is 2^x=8 written as a log equation

Answer 23

log 2^8=x

Question 24

what does a log ask?

Answer 24

what power of b is equal to a

Question 25

2^4=16 in log

Answer 25

log2^16=4

Question 26

log9^9=1 in exponential

Answer 26

9^1=9

Question 27

log 4^64 evaluate

Answer 27

4^x=64

x=3

Question 28

logb^b=

Answer 28

1

Question 29

logb^1=

Answer 29

0

Question 30

logb^ (mn)=

Answer 30

logb^m=logb^n

Question 31

logb(m/n)

Answer 31

logb^m-logb^n

Question 32

logb(m)^n

Answer 32

n Log b^m

Question 33

logb^b^b^x=

Answer 33

x logb^b
x(*)1
x

Question 34

b^logb^x=

Answer 34

x

Question 35

how to solve an exponential equation

Answer 35

set it in terms of the same base or taking the log of both sides

Question 36

how to solve a log equation

Answer 36

use log properties to write as single log then write in exponential form.

Question 37

solve 3^2x=27

Answer 37

3^2x=3^3
2x=3
x=3/2

Question 38

solve log,6(2x-1)=-1

Answer 38

6^-1=2x-1
1/6=2x-1
7/6-2=2x/2
x=7/12

Question 39

how to solve an exponential equation

Answer 39

1. write in terms of same base

2. take log of both sides of EQ

Question 40

how to solve a log equation

Answer 40

1. write a one log by applying log prop. if necessary

2. put into exponential form and solve