Option: A, B, C are correct. Table A, Table B, Table C are represents the value of function.
What is function?
A function is "an expression, or rule or law that defines relationship between one variable(independent variable) and another variable(dependent variable)".
According to the question,
In a function, there is one value of 'y' for every value of 'x' . In table A
Input (x) 1 2 3 4
Output(y) 12 15 18 21
In this table A for every value of 'x' we have value 'y' each. Therefore, Table A is function.
In a function, there is one value of 'y' for every value of 'x' . In table B
Input (x) 1 7 7 -8
Output(y) 22 -30 18 2
In this table B for every value of 'x' we have value 'y' each. Therefore, Table B is function.
In a function, there is one value of 'y' for every value of 'x' . In table C
Input (x) 1 1 1 1
Output(y) -2 -5 -12 1
In this table C for every value of 'x' we have value 'y' each. Therefore, Table C is function.
In a function, there is one value of 'y' for every value of 'x' . In table D
Input (x) 1 3 5 7
Output(y) 12 12 12 12
In this table C, for every value of 'x' we have same value 'y' each. Therefore, Table D is not function.
Hence, Option: A, B, C are correct. Table A, Table B, Table C are represents the value of function and Table D is not function.
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