November 11th, 2012, 12:36 PM  #1 
Newbie Joined: Nov 2012 Posts: 5 Thanks: 0  write as an equation?
The following points are part of a table of values for a function. (0, 2), (1, 4), (2, 10), (3, 2 Represent this function as: a) an equation 
November 11th, 2012, 04:49 PM  #2  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 407  Re: write as an equation? Hello, vivalajuicy! Quote:
I don't have the equation yet, but I have a recurrence. [color=beige]. . [/color]  
November 12th, 2012, 12:34 AM  #3 
Math Team Joined: Apr 2010 Posts: 2,770 Thanks: 356  Re: write as an equation?
y = 1+3^x

November 13th, 2012, 06:33 AM  #4  
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 5  Re: write as an equation? Quote:
d= 2, a+ b+ c+ 2= 4 or a+ b+ c= 2 8a+ 4b+ 2c+ 2= 10 or 8a+ 4b+ 2c= 8, and, dividing by 2, 4a+ 2b+ c= 4. 27a+ 9b+ 3c+ 2= 28 or 27a+ 9b+ 3c= 26 If we subtract a+ b+ c= 2 from 4a+ 2b+ c= 4, we get 3a+ b= 2. If we multiply a+ b+ c= 2 by 3 to get 3a+ 3b+ 3c= 6 and subtract that from 27a+ 9b+ 3c= 26 we get 24a+ 6b= 20 or 12a+ 3b= 10. If we multiply 3a+ b= 2 by 3 we get 9a+ 3b= 6 and subtracting that from 12a+ 3b= 10, 3a= 4 so a= 4/3. Now, you can put that back into 3a+ b= 2 to find b, and put those into one of the original equations to find c. That is a completely different solution from Hoempa's but you have to understand that there can be an infinite number of functions whose graph will go through four given points.  

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