Question

A subset of values of the function g(x) is shown in the following table.

Answer 1

Option (4)

Explanation:

x g(x) Ist difference IInd difference Ratio

1 13 - - -

2 3 3 - 13 = -10 -
`(3)/(13)`

3 -3 -3 - 3 = -6 -6 - (-10) = 4
`(-3)/(3)=-1`

4 -5 -5 - (-3) = -2 -2 - (-6) = 4
`(-5)/(-3)=(5)/(3)`

5 -3 -3 - (-5) = 2 2 - (-2) = 4
`(-3)/(-5)=(3)/(5)`

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.