Gena9nLan3aBalamurre
Answered

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

Verified Answer :

nobillionaireNobley

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:

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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