Use the tables to answer the question.
Table A
Table B
Input
Output
Input
Output
-5
2
-5
2
-8
5
-8
5
-5
8
-11
2
Which BEST describes the tables?
A
Only Table A represents a function.
B
Only Table B represents a function.
C
Both tables represent functions.
D
Neither table represents a function.
From the vertical way you have presented it, it is impossible to understand.
The correct answer is C. Both tables represent functions.
To determine if the tables represent a function, we need to check if each input value (x) has a unique corresponding output value (y). If there is any repetition in the input values with different output values, then it is not a function.
Let's analyze Table A first:
Input -5 has an output of 2.
Input -8 has an output of 5.
Input -5 has an output of 8.
Input -11 has an output of 2.
In Table A, there are two input values (-5) that have different output values (2 and 8). Since the input value -5 is repeated with different output values, Table A does not represent a function.
Now, let's analyze Table B:
Input -5 has an output of 2.
Input -8 has an output of 5.
Input -11 has an output of 2.
In Table B, each input value has a unique output value, and there are no repetitions. Therefore, Table B represents a function.
Based on this analysis, the correct answer is B - Only Table B represents a function.