Not every relation is a function. But every function is a relation. Function is just a part of relation.
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").
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.
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.
Not every relation is a function. But every function is a relation. Function is just a part of relation.
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.
A relation is a function if every input has a distinct output.
No, not every relation is a function. In order for a relation to be a function, each input value must map to exactly one output value. If any input value maps to multiple output values, the relation is not a function.
Yes, but not the other way round - not every relation is a function.
true!
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.
Function
A Function
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").
No, a function must be a relation although a relation need not be a functions.