Ch. 6 First Quiz Flashcards
How to tell if a function is exponential growth or decay
If the thing being raised to the x power or THE BASE is greater than one, the function is exponential growth.
If it’s less than one, it’s decay.
to graph: plug any number into ___ to find points
Plug any number into x
Asymptote
The x-axis and the line the graph approaches but never reaches
Usually where the graph points down
What is y=#
Horizontal line
What is x=#
Vertical line
Domain
Exponential functions
x-axis
Range
y-axis
Usually the asymptote
x-intercept and y-intercept
The points on the graph either (x,0) or (0,y)
Compound interest growth formula
A= p(1+r/n)^nt
What does p stand for
Initial amount
What does r stand for
Rate (percent)
When the rate is inside parentheses, move decimal over 2
What do n and t stand for
Times per year and amount of years
Compound interest decay formula
A= p(1-percent decrease*)^t
How to graph continuous (e)
Plug in x and plot points
Continuous compound interest formula
A= P(e)^r(move decimal)t
What do
P
e
r
t
stand for
Initial amount
Continuously
rate (percent, move decimal)
time
How to turn log form into exponential form
logb y =x —>b^x =y
log# 1 =?
0
loge # =?
1
log# * #^x=?
log7 7^25=?
x
25
ln e^x=?
x
e^lnx =?
x
number^log #x =?
x
When a graph has a shift up or down, what changes?
The asymptote
How to find the inverse of exponential and log functions
Switch y and x
Convert to either exponential or log form
Make sure it equals f -1 (x)
How to convert e form to ln form
ln= e^x
e= lnx
How to find the inverse of exponential form and ln form
Switch x and y
Change to exponent or ln form
Get y by itself
