chapter 7

7.1

100

what are the x units to make a table of values

what is -2, -1, 0, 1, 2 

200

b has to be in between these 2 numbers to be decay. what are the 2 numbers ?

what is 0 and 1

300

in this expression what does r mean? A(t)=a(1+r)^t

what is the rate of growth (r>0) or decay (r<0)

400

what is a in this equation? 

you invested $1000 in a savings account at the end of 6th grade. The account pays 5% annual interest. how much money will be in the account after 6 years?

what is $1000

500

solve the following equation. 

suppose you invest $1000 in a savings account that pays 5% annual interest. If you make no other deposits/withdrawals, how many years will it take for the account to grow to atleast $1500?

what is about 9 years

7.2

100

what does d mean in this equation?

y=ab^(x-c)+d 

what is asymptote 

200

what letter determines a horizontal transition?

what is the c value 

300

what is the equation of exponential functions with base e ? 

what is y=ae^(x-c)+d

400

what is the value of e^11?

what is 59874.14

500

using the continuously compounded interest solve this problem. Suppose you won a contest at the start of 5th grade that deposited $3000 in an account that pays 5% annual interest compounded continuously. How much money will you have in the account when you enter high school 4 years later? Express the answer to the nearest dollar.

what is $3664

7.3

100

what is the logarithmic form of this equation? 100=10^2

log10

200

what is the equation using the logarithmic scale?

what is log₁₀I₁/I₂₌M₁-M₂

300

in the families of logarithmic functions what does d represent? 

y=alog_b(x-c)+d

what is d equals the vertical shift 

400

y=log_b^x is the inverse of what equation?

what is y=b^x

500

what is the inverse of this table ? 

log4^x

what is y=log₄^x

7.4

100

what does log_b^mn equal? 

what is log_b^m+log_bⁿ

200

what does log_b^(m/n) equal ? 

log_b^m - log_bⁿ

300

expand this logarithm, log4x/y

log₄+log_x-log_y

400

what is the change of base formula

log_b^m=log_m/log_b

500

using the base formula what is the value of this expression?

log₅36

log₃₆/log₅= 2.23

7.5-7.6

100

what is an exponential equation?

what is any equation where the exponent includes a variable.

200

What are the steps to solve exponential equations on the calculator?

what is y₁, 2_nd, trace

300

log_e also equals what?

what is In

400

what is the following equation written as a single natural logarithm?

In7+2In5

what is In175

500

what is the solution for the following equation?

2e^-x=20

what is x equals about 2.30