Question

1. (04.01 mc)

the tables below show the values of y corresponding to different values of x:

table a table b
x 3 2 1 x 3 5 5
y 1 0 0 y -2 1 2

which statement is true for the tables? (5 points)

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.

Explanation:

Step1: Check Table A for function rule

A function requires each x-value to map to exactly one y-value. In Table A, x=1 maps to y=0, x=2 maps to y=0, x=3 maps to y=1. No x-value has multiple y-values, so it follows the function definition.

Step2: Check Table B for function rule

In Table B, the x-value 5 maps to y=1 and y=2. A single x-value has two different y-values, violating the function definition.

Answer:

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