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How do you find the rule for a function table when the left column is x equals 2 3 4 5 and the right column is 2 5 8 11?
Wiki User
∙ 11y ago
The right column changes by the same amount for each change of one in x.
So Ux is linear. That is, Ux = a + bx
That "same amount" is 3 so b = 3. That gives Ux = a + 3x
There are now two ways to find the value of a.
You can either take any row of the function table and solve the equation. Suppose you take row 3 - which is 4 and 8.
8 = a + 3*4 = a + 12
and that gives a = -4
OR
Take the sequence back two steps to what it would have been when x = 0. The sequence increases by 3 as you move up the xs. So it decreases by 3 for each step back. Then starting from x = 2 and y = 2 and moving back one step gives x = 1 and y = -1. A second step gives x = 0 and y = -4 (as before).
So, the final answer is Ux = -4 + 3x
Wiki User
∙ 11y ago
Anonymous
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