Question

Which of the tables represents a function?

Table A:
Input Output
4 3
3 2
3 1

Table B:
Input Output
1 3
3 5
5 7

Table C:
Input Output
0 0
1 4
1 5

Table D:
Input Output
4 1
4 2
4 3


a) Table A
b) Table B
c) Table C
d) Table D

Answer 1

A function is a relation that assigns a single value in the range to each value in the domain. In other words, no x-values are repeated.

From the question, we can check the input and output tables. If the table of values is a function, there should be unique output values for each corresponding input value and vice-versa.

On analysis, it can be seen that only Table B satisfies this condition.

Hence, TABLE B is correct.