Ch. 3 Test Flashcards
Domain Exponential Function
All real numbers
Range Exponential Function
horizontal Asymptote, infinity
Neg. infinity, Horizontal asymptote.
Domain log function
vertical asymptote, infinity
neg infinity, vertical asymptote
Range log function
All real numbers
negative outside of the function
reflection in x axis
log a 1 = _
0
log a A =
1
log a A^x =
X
if log a X= log a Y
x = y
log a (U*V) =
log a U + log a V
log with no number as a base
base is 10
log a (U/V) =
log a U - log a V
when it says simplify/expand with just numbers, what do you do?
make a factor tree
How to solve continuous growth problems
Ex. invest $X
Rate x%
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
how to solve half life problems
Find rate first
1/2 = Pe^rt
Plug in time for t and leave initial amount blank
How to solve exponential functions using the one to one property
Make bases equal by taking stuff out or adding stuff
Remove bases
Solve exponents
Outside of log function
Change in y
Inside of log function
Change in x
How to find the vertical asymptote of a log equation
the domain
to find x intercept, convert to…
exponent form
for half life problems use
1/2= Pe rt
y= ae^ bt
for half life problems t is
your half life in years
