Answer:
Option (4)
Step-by-step explanation:
x g(x) Ist difference IInd difference Ratio
1 13 - - -
2 3 3 - 13 = -10 - [tex]\frac{3}{13}[/tex]
3 -3 -3 - 3 = -6 -6 - (-10) = 4 [tex]\frac{-3}{3}=-1[/tex]
4 -5 -5 - (-3) = -2 -2 - (-6) = 4 [tex]\frac{-5}{-3}=\frac{5}{3}[/tex]
5 -3 -3 - (-5) = 2 2 - (-2) = 4 [tex]\frac{-3}{-5}=\frac{3}{5}[/tex]
This table depicts,
1). Ist difference is not common
2). IInd difference is common
3). Ratio is not common
Therefore, this table represents a quadratic function because the second difference are all the same value.
Option (4) will be the answer.
