Question

Which of the tables represents a function?


Table A
Input Output
8 −9
8 −8
10 −8
Table B
Input Output
4 11
7 12
7 13
Table C
Input Output
−4 0
−3 3
−2 5
Table D
Input Output
10 0
10 4
3 7






Table A
Table B
Table C
Table D

Answer 1

For a relation to be a function, each input must lead to a UNIQUE output. i.e. the same input must not lead to different outputs which is the case in TABLES A, B and D. Therefore, only table C represents a function.

Answer 2

Answer:

The correct option is 3. Table C represents a function.

Step-by-step explanation:

If in a relation, for each input there exist a unique output, then the relation is called function.

It means for each value of x, there exist a unique value of y.

In table A, the values of function are -9 and -8 at x=8.

Since there exist more than one value of y for single value of x, therefore Table A does not represent a function.

In table B, the values of function are 12 and 13 at x=7.

Since there exist more than one value of y for single value of x, therefore Table B does not represent a function.

In table D, the values of function are 0 and 4 at x=10.

Since there exist more than one value of y for single value of x, therefore Table D does not represent a function.

Only Table C represents a function. Option 3 is correct.