Exponential Function Help

• Sep 21st 2011, 03:26 PM
amthomasjr
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.
• Sep 21st 2011, 03:27 PM
pickslides
Re: Exponential Function Help
What information do you have? A set of points or a graph?
• Sep 21st 2011, 03:35 PM
amthomasjr
Re: Exponential Function Help
Yes, here are the coordinates:

(0,36) (1,68) (2,84) (3,92) (4,96) (5,98)
• Sep 21st 2011, 03:39 PM
pickslides
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?
• Sep 21st 2011, 05:45 PM
amthomasjr
Re: Exponential Function Help
I believe I can. Thank you. I'll post what I come up with when I am done.