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$\begin{array}{|c|c|c|c|c|c|c|c|} \hline x & 1 & 2 & 3 & 4 & 5 & 6 \\\hline y & 4 & 8 & 14 & 22 & 32 & 44 \\\hline \end{array}$

In the above table, for suitably chosen constants $a, b$ and $c,$ which one of the following best describes the relation between $y$ and $x?$

  1. $y = a + bx$
  2. $y = a + bx + cx^2$
  3. $y = e^{a + bx}$
  4. None of the above
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