Which statement describes how to determine if a relation given in a table is a function?
If none of the output values are repeated, the relation is a function.
If none of the input values are repeated, the relation is a function.
If any of the input values are equal to the output values, the relation is a function.
If all the output values are paired with the same input value, the relation is a function
The correct statement that describes how to determine if a relation given in a table is a function is: "If none of the input values are repeated, the relation is a function."
To determine if a relation given in a table is a function, you need to check if each input value (in the first column of the table) corresponds to a unique output value (in the second column of the table).
If there are no repeated input values, meaning that each input corresponds to a different output, then the relation is a function. This is because every input value is uniquely mapped to a single output value.
However, if there are any repeated input values, where two or more inputs have the same output value, then the relation is not a function. In a function, each input should have only one output value.
Therefore, the statement "If none of the input values are repeated, the relation is a function" is the correct one to describe how to determine if a relation given in a table is a function.