Which of the following tables represents a function? x 2 2 3 3 y 5 −5 6 −6 x 4 −4 4 −4 y 1 2 3 4 x 6 6 7 7 y 2 3 4 5 x 2 −2 4 −4
2 answers:
Answer: Fourth option.
Step-by-step explanation:
By definition, a relationship is a function if and only if each input value (or each x-value) has only one output value (or y-value).
Given the first table:
You can notice that the input values 2 and 3 do not have only one output value. Therefore, this table does not represent a function.
The second table is:
You can notice that the input values 4 and -4 do not have only one output value. Therefore, this table does not represent a function.
The third table is:
You can notice that the input values 6 and 7 do not have only one output value. Therefore, this table does not represent a function.
The fourth table is:
You can notice that each input value has only one output value. Therefore, this table represents a function.
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