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That is part of the definition of a function.
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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.
A relation in which every x-value has a unique y-value?
A Function
When can we say that a relation is not a function?
When it doesn't fulfill the requirements of a function. A function must have EXACTLY ONE value of one of the variables (the "dependent variable") for every value of the other variable or variables (the "independent variable").
How can you say that the relation is a function?
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.
How does graphing the order pairs of a relation can help decide if the relation is a function?
If a relation can be called a function, it means that the relation maps every element to one and only one other element. If you have some ordered pairs and see that, for example, 1 maps to 4 (1,4) and 1 also maps to 7 (1,7) , you don't have a function.
Is the relation a function?
Not every relation is a function. But every function is a relation. Function is just a part of relation.
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.
How do you determine if a relation is a function?
A relation is a function if every input has a distinct output.
Is every relation a function?
No
Is every function a realation?
Yes, but not the other way round - not every relation is a function.
Is every function is a relation true or false?
true!
Differentiate a relation to a function?
A function is a special type of relation. So first let's see what a relation is. A relation is a diagram, equation, or list that defines a specific relationship between groups of elements. Now a function is a relation whose every input corresponds with a single output.
A relation in which every domain value is paired with exactly one range value?
Function
A relation in which every x-value has a unique y-value?
A Function
A relation where there is only one y-value for every x-value?
A function
When can we say that a relation is not a function?
When it doesn't fulfill the requirements of a function. A function must have EXACTLY ONE value of one of the variables (the "dependent variable") for every value of the other variable or variables (the "independent variable").
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.
