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A relation is a function if every value in the domain is mapped to only one value in the range.
A non-mathematical example is mothers. Leaving aside surrogacy, every person has only one mother. Therefore the relation
f(x) = x's mother is a function.
But f(x) = x's ancestor is not a function because everyone has loads of ancestors. They may not all be known but that is not relevant.
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Is the relation a function?
Not every relation is a function. But every function is a relation. Function is just a part of relation.
When does a relation be a function?
A function is a relation whose mapping is a bijection.
When can you say that the graph is function or mere relation?
If a vertical line intersects the graph at more than one point then it is not a function.
A relation is a special type of function?
No. A relation is not a special type of function.
What is the difference between function and a relation?
Good question. A relation is simply that; any x-value to create any y-value. A function, however, cannot be defined for multiple values of x. In other words, for a relation to be a function, it must have singular values for all x within its domain.
Is the relation a function?
Not every relation is a function. But every function is a relation. Function is just a part of relation.
Can you have a function that is not a relation?
No, a function must be a relation although a relation need not be a functions.
Which of these data sets represents a function?
Does the graph above show a relation, a function, both a relation and a function, or neither a relation nor a function?
Is a function always a relation and a relation always a function?
yes.
When does a relation be a function?
A function is a relation whose mapping is a bijection.
Is all relation a function?
Not every relation is a function. A function is type of relation in which every element of its domain maps to only one element in the range. However, every function is a relation.
When can you say that the graph is function or mere relation?
If a vertical line intersects the graph at more than one point then it is not a function.
A relation is a special type of function?
No. A relation is not a special type of function.
How do you determine if a relation is a function?
A relation is a function if every input has a distinct output.
What is the difference between function and a relation?
Good question. A relation is simply that; any x-value to create any y-value. A function, however, cannot be defined for multiple values of x. In other words, for a relation to be a function, it must have singular values for all x within its domain.
How do you know if a relation is a function?
relation and function are number that combine with number and neqative number to .
Is it true or false that a relation is a special type of function?
No. A relation is not a special type of function.
