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.
Answers
If none of the input values are repeated, the relation is a function
I am not sure..hope it helps...
If none of the input values are repeated, the relation is a function.
Function and Relation
A function is a relation, for each input there is a unique output.
Hence, none of the input values are repeated is correct statement.
If same elements in the domain of f correspond to the more than one elements in the range of f then Relation is called one to many relation.
But Such relation is not a function.
A function cannot be one-to-many because any element in domain can have more than one out put.
Therefor, "If none of the input values are repeated, the relation is a function"
Additional Info:
Every function is a relation but every relation is not a function.
If no two elements in the domain of f correspond to the same element in the range of f then function is called one to one function
or relation is called one to one relation.
if more than one elements in the domain of f correspond to the same element in the range of f then function is called Many to one function
Relation is called Many to one relation.
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