Answer:
Explanation:
a table represents a linear function and it's graph will be a straight line if the values of x and y follows a certain pattern, so let's check the given tables,
(1)
x y
-2 -4
(-2+1) (-4+10/3)
-1 -2/3
(-1+1) (-2/3+10/3)
0 -1
(0+1)
2 2/3
4 1
thus, this table is representing a non linear function
(2)
x y
-3 -7
(-3+2) (-7+5/2)
-1 -9/2
(-1+2) (-9/2+5/2)
0 -13/4
1 -2
5 3
the values are not following a certain pattern thus this table is representing a non linear function
(3)
x y
-2 -4
(-2+1) (-4+2)
-1 -2
(-1+1) (-2+2)
0 -1
(0+1)
2 0
4 1
no regular pattern thus this table also is representing a non linear function
(4)
x y
-4 -4
(-4+3) (-4+6)
-1 2
(-1+3) (2+6)
0 -4
1 0
2 2
no regular pattern for the values of x and y, thus, this table also is representing a non linear function