Ch. 3 Test

Question 1

Domain Exponential Function

Answer 1

All real numbers

Question 2

Range Exponential Function

Answer 2

horizontal Asymptote, infinity
Neg. infinity, Horizontal asymptote.

Question 3

Domain log function

Answer 3

vertical asymptote, infinity
neg infinity, vertical asymptote

Question 4

Range log function

Answer 4

All real numbers

Question 5

negative outside of the function

Answer 5

reflection in x axis

Question 6

log a 1 = _

Answer 6

0

Question 7

log a A =

Answer 7

1

Question 8

log a A^x =

Answer 8

X

Question 9

if log a X= log a Y

Answer 9

x = y

Question 10

log a (U*V) =

Answer 10

log a U + log a V

Question 11

log with no number as a base

Answer 11

base is 10

Question 12

log a (U/V) =

Answer 12

log a U - log a V

Question 13

when it says simplify/expand with just numbers, what do you do?

Answer 13

make a factor tree

Question 14

How to solve continuous growth problems
Ex. invest $X
Rate x%

Answer 14

Use A= Pe^rt
Plug in a for what you want
plug in p for initial amount
Divide a by p
Take ln of both sides
Divide by time

Question 15

how to solve half life problems

Answer 15

Find rate first
1/2 = Pe^rt
Plug in time for t and leave initial amount blank

Question 16

How to solve exponential functions using the one to one property

Answer 16

Make bases equal by taking stuff out or adding stuff
Remove bases
Solve exponents

Question 17

Outside of log function

Answer 17

Change in y

Question 18

Inside of log function

Answer 18

Change in x

Question 19

How to find the vertical asymptote of a log equation

Answer 19

the domain

Question 20

to find x intercept, convert to…

Answer 20

exponent form

Question 21

for half life problems use

Answer 21

1/2= Pe rt
y= ae^ bt

Question 22

for half life problems t is

Answer 22

your half life in years