Question

The tables below show the values of y corresponding to different values of x.. . . Table A. x321. y100. Table B. x3 5 5. y -2 1 2. . . Which statement is true for the tables?. Both Table A and Table B represent functions.. . Both Table A and Table B do not represent functions.. . Table A does not represent a function but Table B represents a function.. . Table A represents a function but Table B does not represent a function.

Answer 1

The correct answer is:

Table A represents a function but table B does not represent a function.

Explanation: 

A function is defined as a set of ordered pairs in which each element of the domain (x) is mapped to one element of the range (y).  This means that every x has no more than 1 y associated with it.

In Table A, each x is mapped to only 1 y.  3 is mapped to 1; 2 is mapped to 0; and 1 is mapped to 0.  While 0 is reused for the y-coordinate, each x-coordinate remains mapped to only 1 y, so Table A is a function.

In Table B, there is an x that is mapped to 2 different y-coordinates.  3 is mapped to -2; but 5 is mapped to both 1 and 2.  Since an x is mapped to more than 1 y, Table B does not represent a function.