Answer:
<h2>Table A represents a function.</h2>
Step-by-step explanation:
A function is a relation between two sets, which are called domain, expressed with <em>x-variable</em> and range, expressed <em>y-variable. </em>
The obligatory characteristic of a function is that every element in the domain only can have one element related in the range, that is, if we enter <em>x = 5 </em>in a function, we will just obtain one value back, like <em>y = 6, </em>in this context we cannot obtain a different value for <em>y, </em>if that happens it means that the relation is not a function.
So, in this case, Table A fulfil this definition.
Table B violate this functions definition, because <em>x = 5 </em>has to images in the range <em>y = 2 </em>and <em>y = 6</em>, both are image of a single domain value, therefore, it's not a function.
Table C and Table D do the same thing, for one domain value there's two range values.
Therefore, only Table A represents a function.
