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

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.

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