Busy. Please wait.
or

show password
Forgot Password?

Don't have an account?  Sign up 
or

Username is available taken
show password

why


Make sure to remember your password. If you forget it there is no way for StudyStack to send you a reset link. You would need to create a new account.
We do not share your email address with others. It is only used to allow you to reset your password. For details read our Privacy Policy and Terms of Service.


Already a StudyStack user? Log In

Reset Password
Enter the associated with your account, and we'll email you a link to reset your password.
Don't know
Know
remaining cards
Save
0:01
To flip the current card, click it or press the Spacebar key.  To move the current card to one of the three colored boxes, click on the box.  You may also press the UP ARROW key to move the card to the "Know" box, the DOWN ARROW key to move the card to the "Don't know" box, or the RIGHT ARROW key to move the card to the Remaining box.  You may also click on the card displayed in any of the three boxes to bring that card back to the center.

Pass complete!

"Know" box contains:
Time elapsed:
Retries:
restart all cards
share
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

  Normal Size     Small Size show me how

CH10A&10B Alg 2 H

Exponential Functions

QuestionAnswer
b^1/n=? n√b
b^(m/n)=? n√b or (n√b)^m
Exponential Equation Variable appears in an exponent (no roots)
one-to-one function for every p and q in the domain of a function, f(p)=f(q) if and only if p=q.
Composite function The function whose value at x is f(g(x)). f and g are combined to produce the comspite: f(g(x))=(fog)(x)
Identify function Maps x to itself, f(x)=x or h(x)=x.
*Inverse function 2 functions are inverse if and only if f(g(x))=x and g(f(x))=x.
**a function has an inverse function if and only if...(2) it passes the horizontal line test; graphs are reflective over y=x
how to find the inverse fn switch x and y, and solve for y
general equation of an exponential function y-k=a(b)^(x-h)
what is the origin and horizontal asymptote? (h,k) and y=k
what base value indicates exponential decay or exponential growth? decay: 0<b<1 and growth: b>1
domain and range of an exponential function? D=all real #s R={y:y>k} (growth), and {y:y<k} (decay)
log function is... the inverse of an exponential function
**product property logb(MN)=logbM+logbN
**quotient property logb(M/N)=logbM-logbN
**power property logbM^k=k*logbM
**compound interest formula A=P(1+r/n)^nt A=amt accumulated, P=deposit (principal), r=interest rate (%), n=# of times compounded per year, t=time in years
**doubling-time growth formula N=N.(2)^(t/d) N=population currently, N.=initial value (when t=0)
**half-life decay formula N=N.(1/2)^(t/h) h=half life
**exponential growth y=a(1+r)^t (b>1)
**exponential decay y=a(1-r)^t (0<b<1)
*common log log10X
*natural log logeX
**properties of the natural log e^lnx=x, lne^x=x (inverses)
**e=? 2.718
**change of base formula logaX=logX/loga (base goes to the bottom!)
Created by: allyson.lee