Option (4)
Step-by-step explanation:
Given table in the picture is,
x        y        1st difference
0 Â Â Â Â Â Â -7 Â Â Â Â Â Â Â Â Â Â - Â
1 Â Â Â Â Â Â -2 Â Â Â Â Â Â Â -2 - (-7) = 5
2 Â Â Â Â Â Â 3 Â Â Â Â Â Â Â Â 3 - (-2) = 5
3 Â Â Â Â Â Â 8 Â Â Â Â Â Â Â Â 8 - (3) = 5
4 Â Â Â Â Â Â 13 Â Â Â Â Â Â Â 13 - 8 = 5
5 Â Â Â Â Â Â 18 Â Â Â Â Â Â Â 18 - 13 = 5
There is a common difference of 5 between every consecutive numbers.
Therefore, this table represents a linear function.
Option (4) will be the answer.