Question

Match each table with its equation.

OPTIONS -Linear, Square Root, Quadratic, Absolute Value, Cubic, Reciprocal

Input	Output
-2	-8
-1	-1
0	0
1	1
2	8
3	27

OPTIONS -Linear, Square Root, Quadratic, Absolute Value, Cubic, Reciprocal

Input	Output
-2	_
-1	_
0	0
1	1
4	2
9	3

OPTIONS -Linear, Square Root, Quadratic, Absolute Value, Cubic, Reciprocal

Input	Output
-2	-0.5
-1	-1
0	_
1	1
2	0.5
3	0.33

OPTIONS -Linear, Square Root, Quadratic, Absolute Value, Cubic, Reciprocal

Input	Output
-2	2
-1	1
0	0
1	1
2	2
3	3

OPTIONS -Linear, Square Root, Quadratic, Absolute Value, Cubic, Reciprocal

Input	Output
-2	-2
-1	-1
0	0
1	1
2	2
3	3

OPTIONS -Linear, Square Root, Quadratic, Absolute Value, Cubic, Reciprocal

Input	Output
-2	4
-1	1
0	0
1	1
2	4
3	9

Answer 1

1. A scatterplot of the given data is attached. It resembles the graph of a cubic function. The answer is Cubic.
2. The given data apparently represents a square root function. The square root of a negative no. is an imaginary no. and the other outputs are square roots of the respective inputs.
3. The given data apparently represents a reciprocal function. The reciprocal of 0 is not defined and the other outputs are the reciprocals of the respective inputs.
4. The given data apparently represents an absolute value function. The outputs are the absolute values of the respective inputs.
5. The given data apparently represents a linear function y = x, as the outputs equals the values of the respective inputs.
6. The given data apparently represents the quadratic function y = x² as the outputs equals the squares of the values of the respective inputs.
7.