Question

Which table represents a function?

Answer 1

Table A.

Explanation:

We know,

'A function is a mapping from domain to co-domain where for every member of the domain is mapped to a unique member of the co-domain'.

According to the options:

Table B: Here, we see that, -5 is mapped to both -5 and 5, which is not possible for a function.

Table C: Here, the -2 is mapped to 2 and 4. Thus, the image is not unique.

Table D: We see that, -4 is mapped to 2 and 0.

Thus, in each of the above options, 'not every element of the domain has unique image'.

So, the are all discarded.

Hence, option A is correct, in which every element is mapped to a unique element.