A.
x f(x)
-2 4
-1 1
0 0
1 1
2 4
B.
x f(x)
1 6
2 7
3 8
4 9
5 10
C.
x f(x)
-2 -3
-1 -1
0 1
1 3
2 5
D.
x f(x)
1 3
2 6
3 9
4 12
5 15
Which table represents a nonlinear function?
Responses
A AA
B BB
C CC
D D
D.
A.
To determine which table represents a nonlinear function, we need to check if the values in the second column (f(x)) have a consistent pattern or relationship with the values in the first column (x).
Table A:
The values in the second column increase from -2 to 4. This is a consistent and linear pattern. Not a nonlinear function.
Table B:
The values in the second column increase by 1 with each corresponding value in the first column. This is a consistent and linear pattern. Not a nonlinear function.
Table C:
The values in the second column do not follow a consistent pattern. In this case, the second column values do not increase or decrease at a constant rate as the first column values change. This indicates a nonlinear function.
Table D:
The values in the second column increase by 3 with each corresponding value in the first column. This is a consistent and linear pattern. Not a nonlinear function.
Therefore, the table that represents a nonlinear function is table C.