Answer:
Table 1 does not represent a function.
Table 2 does not represent a function.
Step-by-step explanation:
Table 1
Input (x) 1 3 5 5 9
Output (y) 7 16 19 20 28
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
Table 1 indicates that x = 5 is repeated twice. In other words, the input x = 5 is duplicated and we know that we can not have duplicated inputs as there should be only 1 output for each input.
Therefore, table 1 does not represent a function.
Table 2
Input (x) 0.5 7 7 12 15
Output (y) 1 15 10 23 30
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
Table 2 indicates that x = 7 is repeated twice. In other words, the input x = 7 is duplicated and we know that we can not have duplicated inputs as there should be only 1 output for each input.
Therefore, table 2 does not represent a function.
Conclusion:
We have concluded that both tables do not represent the function.
