Table Rule

Jul 06 2011 Published by under Sporting Goods

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Table Rule
How do you find the function rule of a table (data)?

The question asks:
Write a function rule for the following table

x I 2 I 3 I 4 I
f(x) I 8 I 27 I 64 I

I keep ending up with the answer f(x)= 19x-30
However, when double checking by inputing the 4 the f(x) comes out as 46 not 64. What am I doing wrong.

I'm facing the same problem on other similar questions as well.
Please help me out. and HURRY! Thanks.

If the table is observed carefully,

x = 2, f(x) = 8 = 2³ = x³
x = 3, f(x) = 27 = 3³ = x³
x = 4, f(x) = 64 = 4³ = x³

Thus, function is

f(x) = x³

Sometimes, the patterns are simple. No need to apply the general method.

For free math worksheets, visit http://onlinehometutors.com/online-tutoring-free-math-worksheets.php

The Folding Rule - Wine Barrel Table - Part I

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