Exponential Function Help

The formula of the form I am using is y=a(b^x)+d. To find out what b is I know that you use the table (taking the quotient of the first set of differences). What should I do to find out what a and d is? Let me know if I should put more information. Any suggestions would be very helpful.

Re: Exponential Function Help

What information do you have? A set of points or a graph?

Re: Exponential Function Help

Yes, here are the coordinates:

(0,36) (1,68) (2,84) (3,92) (4,96) (5,98)

Re: Exponential Function Help

That is a lot of information. You can make a system of equations and solve for $\displaystyle a,b$ and $\displaystyle d$ using those points

Choosing 3 at random and substituting them into $\displaystyle y=a(b^x)+d$

$\displaystyle (1,68) : 68=a(b^1)+d$

$\displaystyle (0,36) : 36=a(b^0)+d$

$\displaystyle (3,92) : 92=a(b^3)+d$

Can you take it from here?

Re: Exponential Function Help

I believe I can. Thank you. I'll post what I come up with when I am done.